3x+36=13x-84

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Solution for 3x+36=13x-84 equation:


Simplifying
3x + 36 = 13x + -84

Reorder the terms:
36 + 3x = 13x + -84

Reorder the terms:
36 + 3x = -84 + 13x

Solving
36 + 3x = -84 + 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 + 3x + -13x = -84 + 13x + -13x

Combine like terms: 3x + -13x = -10x
36 + -10x = -84 + 13x + -13x

Combine like terms: 13x + -13x = 0
36 + -10x = -84 + 0
36 + -10x = -84

Add '-36' to each side of the equation.
36 + -36 + -10x = -84 + -36

Combine like terms: 36 + -36 = 0
0 + -10x = -84 + -36
-10x = -84 + -36

Combine like terms: -84 + -36 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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