42-(2x+15)=2(x+6)+x

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Solution for 42-(2x+15)=2(x+6)+x equation:


Simplifying
42 + -1(2x + 15) = 2(x + 6) + x

Reorder the terms:
42 + -1(15 + 2x) = 2(x + 6) + x
42 + (15 * -1 + 2x * -1) = 2(x + 6) + x
42 + (-15 + -2x) = 2(x + 6) + x

Combine like terms: 42 + -15 = 27
27 + -2x = 2(x + 6) + x

Reorder the terms:
27 + -2x = 2(6 + x) + x
27 + -2x = (6 * 2 + x * 2) + x
27 + -2x = (12 + 2x) + x

Combine like terms: 2x + x = 3x
27 + -2x = 12 + 3x

Solving
27 + -2x = 12 + 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.
27 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
27 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -5x = 12 + 0
27 + -5x = 12

Add '-27' to each side of the equation.
27 + -27 + -5x = 12 + -27

Combine like terms: 27 + -27 = 0
0 + -5x = 12 + -27
-5x = 12 + -27

Combine like terms: 12 + -27 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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