Answer
x=-12
Work Step by Step
4x+2=3(x-6)+8
First use the distributive property on the parentheses
4x+2=3(x)-3(6)+8
4x+2=3x-18+8
4x+2=3x-10
Then subtract 3x from both sides
4x-3x+2=-10
x+2=-10
Then subtract 2 from both sides
x=-10-2
x=-12
Check the answer
4(-12)+2=3(-12-6)+8
-48+2=3(-18)+8
-46=-54+8
-46=-46