5x+77=4x-31

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Solution for 5x+77=4x-31 equation:


Simplifying
5x + 77 = 4x + -31

Reorder the terms:
77 + 5x = 4x + -31

Reorder the terms:
77 + 5x = -31 + 4x

Solving
77 + 5x = -31 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
77 + 5x + -4x = -31 + 4x + -4x

Combine like terms: 5x + -4x = 1x
77 + 1x = -31 + 4x + -4x

Combine like terms: 4x + -4x = 0
77 + 1x = -31 + 0
77 + 1x = -31

Add '-77' to each side of the equation.
77 + -77 + 1x = -31 + -77

Combine like terms: 77 + -77 = 0
0 + 1x = -31 + -77
1x = -31 + -77

Combine like terms: -31 + -77 = -108
1x = -108

Divide each side by '1'.
x = -108

Simplifying
x = -108

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