3x+23=13x-57

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Solution for 3x+23=13x-57 equation:


Simplifying
3x + 23 = 13x + -57

Reorder the terms:
23 + 3x = 13x + -57

Reorder the terms:
23 + 3x = -57 + 13x

Solving
23 + 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.
23 + 3x + -13x = -57 + 13x + -13x

Combine like terms: 3x + -13x = -10x
23 + -10x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
23 + -10x = -57 + 0
23 + -10x = -57

Add '-23' to each side of the equation.
23 + -23 + -10x = -57 + -23

Combine like terms: 23 + -23 = 0
0 + -10x = -57 + -23
-10x = -57 + -23

Combine like terms: -57 + -23 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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