Question

solve for the equation.
(1/3)x + 3=-(7/2)x-(3/2)

Can I just get the answer for x? I want to see if my answer is correct....

Answer 1

((1)/(3))x+3=-((7)/(2))*x-((3)/(2))

Multiply -1 by x to get -x.
((1)/(3))x+3=-x((7)/(2))-((3)/(2))

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

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

Combine the numerators of all expressions that have common denominators.
((1)/(3))x+3=(-7x-3)/(2)

Since 3 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3 from both sides.
((1)/(3))x=-3+(-7x-3)/(2)

Simplify the right-hand side of the equation.
((1)/(3))x=(-7x-9)/(2)

Multiply each term in the equation by 2.
((1)/(3))x*2=(-7x-9)/(2)*2

Simplify the left-hand side of the equation by multiplying out all the terms.
2x((1)/(3))=(-7x-9)/(2)*2

Simplify the right-hand side of the equation by simplifying each term.
2x((1)/(3))=-7x-9

Multiply 2x by each term inside the parentheses.
(2x)/(3)=-7x-9

Multiply each term in the equation by 3.
(2x)/(3)*3=-7x*3-9*3

Simplify the left-hand side of the equation by canceling the common factors.
2x=-7x*3-9*3

Simplify the right-hand side of the equation by multiplying out all the terms.
2x=-21x-27

Since -21x contains the variable to solve for, move it to the left-hand side of the equation by adding 21x to both sides.
2x+21x=-27

Since 2x and 21x are like terms, add 21x to 2x to get 23x.
23x=-27

Divide each term in the equation by 23.
(23x)/(23)=-(27)/(23)

Simplify the left-hand side of the equation by canceling the common factors.
x=-(27)/(23)

Answer 2

so,
x=-(27)/(23)

Answer 3

Do you understand the concept now?

Answer 4

YES! Thank you! :)