6x+23=13x-54

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Solution for 6x+23=13x-54 equation:


Simplifying
6x + 23 = 13x + -54

Reorder the terms:
23 + 6x = 13x + -54

Reorder the terms:
23 + 6x = -54 + 13x

Solving
23 + 6x = -54 + 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 + 6x + -13x = -54 + 13x + -13x

Combine like terms: 6x + -13x = -7x
23 + -7x = -54 + 13x + -13x

Combine like terms: 13x + -13x = 0
23 + -7x = -54 + 0
23 + -7x = -54

Add '-23' to each side of the equation.
23 + -23 + -7x = -54 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = -54 + -23
-7x = -54 + -23

Combine like terms: -54 + -23 = -77
-7x = -77

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

Simplifying
x = 11

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