2(x-8)-3(x+2)=10

Solution for 2(x-8)-3(x+2)=10 equation:

Simplifying
2(x + -8) + -3(x + 2) = 10

Reorder the terms:
2(-8 + x) + -3(x + 2) = 10
(-8 * 2 + x * 2) + -3(x + 2) = 10
(-16 + 2x) + -3(x + 2) = 10

Reorder the terms:
-16 + 2x + -3(2 + x) = 10
-16 + 2x + (2 * -3 + x * -3) = 10
-16 + 2x + (-6 + -3x) = 10

Reorder the terms:
-16 + -6 + 2x + -3x = 10

Combine like terms: -16 + -6 = -22
-22 + 2x + -3x = 10

Combine like terms: 2x + -3x = -1x
-22 + -1x = 10

Solving
-22 + -1x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22' to each side of the equation.
-22 + 22 + -1x = 10 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 10 + 22
-1x = 10 + 22

Combine like terms: 10 + 22 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32