(2x+54)=5x-72

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Solution for (2x+54)=5x-72 equation:


Simplifying
(2x + 54) = 5x + -72

Reorder the terms:
(54 + 2x) = 5x + -72

Remove parenthesis around (54 + 2x)
54 + 2x = 5x + -72

Reorder the terms:
54 + 2x = -72 + 5x

Solving
54 + 2x = -72 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
54 + 2x + -5x = -72 + 5x + -5x

Combine like terms: 2x + -5x = -3x
54 + -3x = -72 + 5x + -5x

Combine like terms: 5x + -5x = 0
54 + -3x = -72 + 0
54 + -3x = -72

Add '-54' to each side of the equation.
54 + -54 + -3x = -72 + -54

Combine like terms: 54 + -54 = 0
0 + -3x = -72 + -54
-3x = -72 + -54

Combine like terms: -72 + -54 = -126
-3x = -126

Divide each side by '-3'.
x = 42

Simplifying
x = 42

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