3x+15=9x-27

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Solution for 3x+15=9x-27 equation:


Simplifying
3x + 15 = 9x + -27

Reorder the terms:
15 + 3x = 9x + -27

Reorder the terms:
15 + 3x = -27 + 9x

Solving
15 + 3x = -27 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 3x + -9x = -27 + 9x + -9x

Combine like terms: 3x + -9x = -6x
15 + -6x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -6x = -27 + 0
15 + -6x = -27

Add '-15' to each side of the equation.
15 + -15 + -6x = -27 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -27 + -15
-6x = -27 + -15

Combine like terms: -27 + -15 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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