42=2(2x-7)+2(x+4)

Solution for 42=2(2x-7)+2(x+4) equation:

Simplifying
42 = 2(2x + -7) + 2(x + 4)

Reorder the terms:
42 = 2(-7 + 2x) + 2(x + 4)
42 = (-7 * 2 + 2x * 2) + 2(x + 4)
42 = (-14 + 4x) + 2(x + 4)

Reorder the terms:
42 = -14 + 4x + 2(4 + x)
42 = -14 + 4x + (4 * 2 + x * 2)
42 = -14 + 4x + (8 + 2x)

Reorder the terms:
42 = -14 + 8 + 4x + 2x

Combine like terms: -14 + 8 = -6
42 = -6 + 4x + 2x

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

Solving
42 = -6 + 6x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -6 + -42 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8