42=2(x-12)+2(x+3)

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Solution for 42=2(x-12)+2(x+3) equation: 


Simplifying
42 = 2(x + -12) + 2(x + 3)

Reorder the terms:
42 = 2(-12 + x) + 2(x + 3)
42 = (-12 * 2 + x * 2) + 2(x + 3)
42 = (-24 + 2x) + 2(x + 3)

Reorder the terms:
42 = -24 + 2x + 2(3 + x)
42 = -24 + 2x + (3 * 2 + x * 2)
42 = -24 + 2x + (6 + 2x)

Reorder the terms:
42 = -24 + 6 + 2x + 2x

Combine like terms: -24 + 6 = -18
42 = -18 + 2x + 2x

Combine like terms: 2x + 2x = 4x
42 = -18 + 4x

Solving
42 = -18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
42 + -4x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + -4x = -18 + 0
42 + -4x = -18

Add '-42' to each side of the equation.
42 + -42 + -4x = -18 + -42

Combine like terms: 42 + -42 = 0
0 + -4x = -18 + -42
-4x = -18 + -42

Combine like terms: -18 + -42 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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