6x+36=15x-45

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Solution for 6x+36=15x-45 equation:


Simplifying
6x + 36 = 15x + -45

Reorder the terms:
36 + 6x = 15x + -45

Reorder the terms:
36 + 6x = -45 + 15x

Solving
36 + 6x = -45 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
36 + 6x + -15x = -45 + 15x + -15x

Combine like terms: 6x + -15x = -9x
36 + -9x = -45 + 15x + -15x

Combine like terms: 15x + -15x = 0
36 + -9x = -45 + 0
36 + -9x = -45

Add '-36' to each side of the equation.
36 + -36 + -9x = -45 + -36

Combine like terms: 36 + -36 = 0
0 + -9x = -45 + -36
-9x = -45 + -36

Combine like terms: -45 + -36 = -81
-9x = -81

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

Simplifying
x = 9

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