Answer:x=8
Step-by-step explanation:Reorder the terms:
10x + -2(6 + x) = 52
10x + (6 * -2 + x * -2) = 52
10x + (-12 + -2x) = 52
Reorder the terms:
-12 + 10x + -2x = 52
Combine like terms: 10x + -2x = 8x
-12 + 8x = 52
Solving
-12 + 8x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 8x = 52 + 12
Combine like terms: -12 + 12 = 0
0 + 8x = 52 + 12
8x = 52 + 12
Combine like terms: 52 + 12 = 64
8x = 64
Divide each side by '8'.
x = 8
Simplifying
x = 8