2x+77=20x-13

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Solution for 2x+77=20x-13 equation:


Simplifying
2x + 77 = 20x + -13

Reorder the terms:
77 + 2x = 20x + -13

Reorder the terms:
77 + 2x = -13 + 20x

Solving
77 + 2x = -13 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
77 + 2x + -20x = -13 + 20x + -20x

Combine like terms: 2x + -20x = -18x
77 + -18x = -13 + 20x + -20x

Combine like terms: 20x + -20x = 0
77 + -18x = -13 + 0
77 + -18x = -13

Add '-77' to each side of the equation.
77 + -77 + -18x = -13 + -77

Combine like terms: 77 + -77 = 0
0 + -18x = -13 + -77
-18x = -13 + -77

Combine like terms: -13 + -77 = -90
-18x = -90

Divide each side by '-18'.
x = 5

Simplifying
x = 5

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