2(x-2)+2(x+5)=42

Solution for 2(x-2)+2(x+5)=42 equation:

Simplifying
2(x + -2) + 2(x + 5) = 42

Reorder the terms:
2(-2 + x) + 2(x + 5) = 42
(-2 * 2 + x * 2) + 2(x + 5) = 42
(-4 + 2x) + 2(x + 5) = 42

Reorder the terms:
-4 + 2x + 2(5 + x) = 42
-4 + 2x + (5 * 2 + x * 2) = 42
-4 + 2x + (10 + 2x) = 42

Reorder the terms:
-4 + 10 + 2x + 2x = 42

Combine like terms: -4 + 10 = 6
6 + 2x + 2x = 42

Combine like terms: 2x + 2x = 4x
6 + 4x = 42

Solving
6 + 4x = 42

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 42 + -6
4x = 42 + -6

Combine like terms: 42 + -6 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9