42-(2x+3)=2(x+7)+x

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Solution for 42-(2x+3)=2(x+7)+x equation: 


Simplifying
42 + -1(2x + 3) = 2(x + 7) + x

Reorder the terms:
42 + -1(3 + 2x) = 2(x + 7) + x
42 + (3 * -1 + 2x * -1) = 2(x + 7) + x
42 + (-3 + -2x) = 2(x + 7) + x

Combine like terms: 42 + -3 = 39
39 + -2x = 2(x + 7) + x

Reorder the terms:
39 + -2x = 2(7 + x) + x
39 + -2x = (7 * 2 + x * 2) + x
39 + -2x = (14 + 2x) + x

Combine like terms: 2x + x = 3x
39 + -2x = 14 + 3x

Solving
39 + -2x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
39 + -2x + -3x = 14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
39 + -5x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
39 + -5x = 14 + 0
39 + -5x = 14

Add '-39' to each side of the equation.
39 + -39 + -5x = 14 + -39

Combine like terms: 39 + -39 = 0
0 + -5x = 14 + -39
-5x = 14 + -39

Combine like terms: 14 + -39 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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