Question

Solve the equation: l-4+3xl=14

Answer 1

4+3x=14 4+3x=-14
3x=10 3x=-18
x=10/3 x=-18/3

Answer 2

|-4+3x|=14

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
-4+3x=\(14)

Set up the + portion of the \ solution.
-4+3x=14

Move all terms not containing x to the right-hand side of the equation.
3x=18

Divide each term in the equation by 3.
x=6

Set up the - portion of the \ solution.
-4+3x=-(14)

Multiply -1 by the 14 inside the parentheses.
3x-4=-14

Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides.
3x=4-14

Subtract 14 from 4 to get -10.
3x=-10

Divide each term in the equation by 3.
(3x)/(3)=-(10)/(3)

Simplify the left-hand side of the equation by canceling the common factors.
x=-(10)/(3)

The solution to the equation includes both the positive and negative portions of the solution.
x=6,-(10)/(3)

Answer 3

got it

Answer 4

any more question u want to ask

Answer 5

So you basically just put a negative sign on the opposite side of the equals sign for the second answer? Or is there more to it?