5x+18=13x-54

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Solution for 5x+18=13x-54 equation:


Simplifying
5x + 18 = 13x + -54

Reorder the terms:
18 + 5x = 13x + -54

Reorder the terms:
18 + 5x = -54 + 13x

Solving
18 + 5x = -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.
18 + 5x + -13x = -54 + 13x + -13x

Combine like terms: 5x + -13x = -8x
18 + -8x = -54 + 13x + -13x

Combine like terms: 13x + -13x = 0
18 + -8x = -54 + 0
18 + -8x = -54

Add '-18' to each side of the equation.
18 + -18 + -8x = -54 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -54 + -18
-8x = -54 + -18

Combine like terms: -54 + -18 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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