Question

Solve for x.

5(x - 3) + 4(x + 3) = 3(x - 1)

x = 0
x = 1/4
x = 1/2
x = 1

Answer 1

5x - 15 + 4x + 12 = 3x - 3
9x - 3 = 3x - 3
9x = 3x
3x = x
3x - x = 0
2x = 0
x = 0

Answer 2

Simplify the left side.
5x−15+(4x+12)=3(x−1)

Simplify by adding terms.

Remove unnecessary parentheses.5x−15+4x+12=3(x−1)

Add 5x and 4x to get 9x.9x−15+12=3(x−1)
Add −15 and 12 to get −3.9x−3=3(x−1)
Simplify the right side.
Apply the distributive property.9x−3=3x+3⋅−1

Multiply 3 by −1 to get −3.9x−3=3x−3

Move all terms containing x to the left side of the equation.
Since 3x contains the variable to solve for, move it to the left side of the equation by subtracting 3x from both sides.9x−3−3x=−3

Subtract 3x from 9x to get 6x.6x−3=−3Move all terms not containing x to the right side of the equation.
Since −3 does not contain the variable to solve for, move it to the right side of the equation by adding 3 to both sides.6x=3−3Subtract 3 from 3 to get 0.6x=0Divide each term by 6 and simplify.x=0