3x+13=13x-57

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Solution for 3x+13=13x-57 equation:


Simplifying
3x + 13 = 13x + -57

Reorder the terms:
13 + 3x = 13x + -57

Reorder the terms:
13 + 3x = -57 + 13x

Solving
13 + 3x = -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.
13 + 3x + -13x = -57 + 13x + -13x

Combine like terms: 3x + -13x = -10x
13 + -10x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
13 + -10x = -57 + 0
13 + -10x = -57

Add '-13' to each side of the equation.
13 + -13 + -10x = -57 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = -57 + -13
-10x = -57 + -13

Combine like terms: -57 + -13 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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