Question

x-3/2x-(x-3)=x-2/(2x+3)-(x-3)

Answer 1

Do you really want the answer to this problem, I mean do you need to show you work and all that good stuff

Answer 2

yes!

Answer 3

ok, I hope you have a printer for his one......

Answer 4

x-(3)/(2)*x-(x-3)=x-(2)/(2x+3)-(x-3)

Multiply -1 by each term inside the parentheses.
x-(3)/(2)*x-(x-3)=x-(2)/(2x+3)-x+3

Since x and -x are like terms, add -x to x to get 0.
x-(3)/(2)*x-(x-3)=0+3-(2)/(2x+3)

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
x-(3)/(2)*x-(x-3)=3-(2)/(2x+3)

Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of (2x+3).
x-(3)/(2)*x-(x-3)=3*(2x+3)/(2x+3)-(2)/(2x+3)

Multiply the expression by a factor of 1 to create the least common denominator (LCD) of (2x+3).
x-(3)/(2)*x-(x-3)=(3(2x+3))/(2x+3)-(2)/(2x+3)

Multiply 3 by each term inside the parentheses.
x-(3)/(2)*x-(x-3)=(6x+9)/(2x+3)-(2)/(2x+3)

The numerators of expressions that have equal denominators can be combined. In this case, ((6x+9))/((2x+3)) and -(2)/((2x+3)) have the same denominator of (2x+3), so the numerators can be combined.
x-(3)/(2)*x-(x-3)=((6x+9)-2)/(2x+3)

Simplify the numerator of the expression.
x-(3)/(2)*x-(x-3)=(6x+9-2)/(2x+3)

Subtract 2 from 9 to get 7.
x-(3)/(2)*x-(x-3)=(6x+7)/(2x+3)

Multiply -1 by each term inside the parentheses.
x-(3)/(2)*x-x+3=(6x+7)/(2x+3)

Multiply -(3)/(2) by x to get -(3x)/(2).
x-(3x)/(2)-x+3=(6x+7)/(2x+3)

Since x and -x are like terms, add -x to x to get 0.
0-(3x)/(2)+3=(6x+7)/(2x+3)

Combine all similar terms in the polynomial x-(3x)/(2)-x+3.
-(3x)/(2)+3=(6x+7)/(2x+3)

Find the LCD (least common denominator) of -(3x)/(2)+3+((6x+7))/((2x+3)).
Least common denominator: 2(2x+3)

Multiply each term in the equation by 2(2x+3) in order to remove all the denominators from the equation.
-(3x)/(2)*2(2x+3)+3*2(2x+3)=(6x+7)/(2x+3)*2(2x+3)

Simplify the left-hand side of the equation by canceling the common factors.
-6x^(2)+3x+18=(6x+7)/(2x+3)*2(2x+3)

Simplify the right-hand side of the equation by simplifying each term.
-6x^(2)+3x+18=12x+14

Since 12x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 12x from both sides.
-6x^(2)+3x+18-12x=14

Since 3x and -12x are like terms, add -12x to 3x to get -9x.
-6x^(2)-9x+18=14

To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.
-6x^(2)-9x+4=0

Multiply each term in the equation by -1.
-6x^(2)*-1-9x*-1+4*-1=0*-1

Simplify the left-hand side of the equation by multiplying out all the terms.
6x^(2)+9x-4=0*-1

Multiply 0 by -1 to get 0.
6x^(2)+9x-4=0

Use the quadratic formula to find the solutions. In this case, the values are a=6, b=9, and c=-4.
x=(-b\~(b^(2)-4ac))/(2a) where ax^(2)+bx+c=0

Use the standard form of the equation to find a, b, and c for this quadratic.
a=6, b=9, and c=-4

Substitute in the values of a=6, b=9, and c=-4.
x=(-9\~((9)^(2)-4(6)(-4)))/(2(6))

Simplify the section inside the radical.
x=(-9\~(177))/(2(6))

Simplify the denominator of the quadratic formula.
x=(-9\~(177))/(12)

First, solve the + portion of \.
x=(-9+~(177))/(12)

Next, solve the - portion of \.
x=(-9-~(177))/(12)

The final answer is the combination of both solutions.
x=(-9+~(177))/(12),(-9-~(177))/(12)_x<Z>APPR<z>0.359,-1.859

Answer 5

i dont understand this

Answer 6

hang on you just want the answer right

Answer 7

yes

Answer 8

can you minimize the steps???????????

Answer 9

not really

Answer 10

ok

Answer 11

X=(-9+√177)/12,(-9-√177)/12 or
X≈0.359,-1.859
It will depend on the answer your teacher is looking for
Has to how you will answer the equation.

Answer 12

I hope this helps