4x+77=10x-13

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Solution for 4x+77=10x-13 equation:


Simplifying
4x + 77 = 10x + -13

Reorder the terms:
77 + 4x = 10x + -13

Reorder the terms:
77 + 4x = -13 + 10x

Solving
77 + 4x = -13 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
77 + 4x + -10x = -13 + 10x + -10x

Combine like terms: 4x + -10x = -6x
77 + -6x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
77 + -6x = -13 + 0
77 + -6x = -13

Add '-77' to each side of the equation.
77 + -77 + -6x = -13 + -77

Combine like terms: 77 + -77 = 0
0 + -6x = -13 + -77
-6x = -13 + -77

Combine like terms: -13 + -77 = -90
-6x = -90

Divide each side by '-6'.
x = 15

Simplifying
x = 15

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