6x+20=13x-57

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Solution for 6x+20=13x-57 equation:


Simplifying
6x + 20 = 13x + -57

Reorder the terms:
20 + 6x = 13x + -57

Reorder the terms:
20 + 6x = -57 + 13x

Solving
20 + 6x = -57 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
20 + 6x + -13x = -57 + 13x + -13x

Combine like terms: 6x + -13x = -7x
20 + -7x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
20 + -7x = -57 + 0
20 + -7x = -57

Add '-20' to each side of the equation.
20 + -20 + -7x = -57 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -57 + -20
-7x = -57 + -20

Combine like terms: -57 + -20 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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