3x+27=11x-45

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Solution for 3x+27=11x-45 equation:


Simplifying
3x + 27 = 11x + -45

Reorder the terms:
27 + 3x = 11x + -45

Reorder the terms:
27 + 3x = -45 + 11x

Solving
27 + 3x = -45 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
27 + 3x + -11x = -45 + 11x + -11x

Combine like terms: 3x + -11x = -8x
27 + -8x = -45 + 11x + -11x

Combine like terms: 11x + -11x = 0
27 + -8x = -45 + 0
27 + -8x = -45

Add '-27' to each side of the equation.
27 + -27 + -8x = -45 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -45 + -27
-8x = -45 + -27

Combine like terms: -45 + -27 = -72
-8x = -72

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

Simplifying
x = 9

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