6x+36=13x-27

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Solution for 6x+36=13x-27 equation:


Simplifying
6x + 36 = 13x + -27

Reorder the terms:
36 + 6x = 13x + -27

Reorder the terms:
36 + 6x = -27 + 13x

Solving
36 + 6x = -27 + 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 + 6x + -13x = -27 + 13x + -13x

Combine like terms: 6x + -13x = -7x
36 + -7x = -27 + 13x + -13x

Combine like terms: 13x + -13x = 0
36 + -7x = -27 + 0
36 + -7x = -27

Add '-36' to each side of the equation.
36 + -36 + -7x = -27 + -36

Combine like terms: 36 + -36 = 0
0 + -7x = -27 + -36
-7x = -27 + -36

Combine like terms: -27 + -36 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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