x+7=5x-54

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Solution for x+7=5x-54 equation:


Simplifying
x + 7 = 5x + -54

Reorder the terms:
7 + x = 5x + -54

Reorder the terms:
7 + x = -54 + 5x

Solving
7 + x = -54 + 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.
7 + x + -5x = -54 + 5x + -5x

Combine like terms: x + -5x = -4x
7 + -4x = -54 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -4x = -54 + 0
7 + -4x = -54

Add '-7' to each side of the equation.
7 + -7 + -4x = -54 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -54 + -7
-4x = -54 + -7

Combine like terms: -54 + -7 = -61
-4x = -61

Divide each side by '-4'.
x = 15.25

Simplifying
x = 15.25

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