54-(2x-8)=2(x+8)+x

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Solution for 54-(2x-8)=2(x+8)+x equation: 


Simplifying
54 + -1(2x + -8) = 2(x + 8) + x

Reorder the terms:
54 + -1(-8 + 2x) = 2(x + 8) + x
54 + (-8 * -1 + 2x * -1) = 2(x + 8) + x
54 + (8 + -2x) = 2(x + 8) + x

Combine like terms: 54 + 8 = 62
62 + -2x = 2(x + 8) + x

Reorder the terms:
62 + -2x = 2(8 + x) + x
62 + -2x = (8 * 2 + x * 2) + x
62 + -2x = (16 + 2x) + x

Combine like terms: 2x + x = 3x
62 + -2x = 16 + 3x

Solving
62 + -2x = 16 + 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.
62 + -2x + -3x = 16 + 3x + -3x

Combine like terms: -2x + -3x = -5x
62 + -5x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
62 + -5x = 16 + 0
62 + -5x = 16

Add '-62' to each side of the equation.
62 + -62 + -5x = 16 + -62

Combine like terms: 62 + -62 = 0
0 + -5x = 16 + -62
-5x = 16 + -62

Combine like terms: 16 + -62 = -46
-5x = -46

Divide each side by '-5'.
x = 9.2

Simplifying
x = 9.2

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