42-(2x+6)=2(x+3)+x

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Solution for 42-(2x+6)=2(x+3)+x equation:


Simplifying
42 + -1(2x + 6) = 2(x + 3) + x

Reorder the terms:
42 + -1(6 + 2x) = 2(x + 3) + x
42 + (6 * -1 + 2x * -1) = 2(x + 3) + x
42 + (-6 + -2x) = 2(x + 3) + x

Combine like terms: 42 + -6 = 36
36 + -2x = 2(x + 3) + x

Reorder the terms:
36 + -2x = 2(3 + x) + x
36 + -2x = (3 * 2 + x * 2) + x
36 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
36 + -2x = 6 + 3x

Solving
36 + -2x = 6 + 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.
36 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
36 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -5x = 6 + 0
36 + -5x = 6

Add '-36' to each side of the equation.
36 + -36 + -5x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -5x = 6 + -36
-5x = 6 + -36

Combine like terms: 6 + -36 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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