6x+36.5=13x-54.5

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Solution for 6x+36.5=13x-54.5 equation: 


Simplifying
6x + 36.5 = 13x + -54.5

Reorder the terms:
36.5 + 6x = 13x + -54.5

Reorder the terms:
36.5 + 6x = -54.5 + 13x

Solving
36.5 + 6x = -54.5 + 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.
36.5 + 6x + -13x = -54.5 + 13x + -13x

Combine like terms: 6x + -13x = -7x
36.5 + -7x = -54.5 + 13x + -13x

Combine like terms: 13x + -13x = 0
36.5 + -7x = -54.5 + 0
36.5 + -7x = -54.5

Add '-36.5' to each side of the equation.
36.5 + -36.5 + -7x = -54.5 + -36.5

Combine like terms: 36.5 + -36.5 = 0.0
0.0 + -7x = -54.5 + -36.5
-7x = -54.5 + -36.5

Combine like terms: -54.5 + -36.5 = -91
-7x = -91

Divide each side by '-7'.
x = 13

Simplifying
x = 13

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