54-(2x+5)=2(x+7)+x

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Solution for 54-(2x+5)=2(x+7)+x equation:


Simplifying
54 + -1(2x + 5) = 2(x + 7) + x

Reorder the terms:
54 + -1(5 + 2x) = 2(x + 7) + x
54 + (5 * -1 + 2x * -1) = 2(x + 7) + x
54 + (-5 + -2x) = 2(x + 7) + x

Combine like terms: 54 + -5 = 49
49 + -2x = 2(x + 7) + x

Reorder the terms:
49 + -2x = 2(7 + x) + x
49 + -2x = (7 * 2 + x * 2) + x
49 + -2x = (14 + 2x) + x

Combine like terms: 2x + x = 3x
49 + -2x = 14 + 3x

Solving
49 + -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.
49 + -2x + -3x = 14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
49 + -5x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
49 + -5x = 14 + 0
49 + -5x = 14

Add '-49' to each side of the equation.
49 + -49 + -5x = 14 + -49

Combine like terms: 49 + -49 = 0
0 + -5x = 14 + -49
-5x = 14 + -49

Combine like terms: 14 + -49 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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