answer: x=3
5(3x+2)+7=6+2(3x−8)
1: Simplify both sides of the equation.
5(3x+2)+7=6+2(3x−8)
(5)(3x)+(5)(2)+7=6+(2)(3x)+(2)(−8)(Distribute)
15x+10+7=6+6x+−16
(15x)+(10+7)=(6x)+(6+−16)(Combine Like Terms)
15x+17=6x+−10
15x+17=6x−10
2: Subtract 6x from both sides.
15x+17−6x=6x−10−6x
9x+17=−10
3: Subtract 17 from both sides.
9x+17−17=−10−17
9x=−27
4: Divide both sides by 9.
9x/9=-27/9
x=−3