3x+27=12x-45

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Solution for 3x+27=12x-45 equation:


Simplifying
3x + 27 = 12x + -45

Reorder the terms:
27 + 3x = 12x + -45

Reorder the terms:
27 + 3x = -45 + 12x

Solving
27 + 3x = -45 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
27 + 3x + -12x = -45 + 12x + -12x

Combine like terms: 3x + -12x = -9x
27 + -9x = -45 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -9x = -45 + 0
27 + -9x = -45

Add '-27' to each side of the equation.
27 + -27 + -9x = -45 + -27

Combine like terms: 27 + -27 = 0
0 + -9x = -45 + -27
-9x = -45 + -27

Combine like terms: -45 + -27 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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