4x+27=12x-61

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Solution for 4x+27=12x-61 equation:


Simplifying
4x + 27 = 12x + -61

Reorder the terms:
27 + 4x = 12x + -61

Reorder the terms:
27 + 4x = -61 + 12x

Solving
27 + 4x = -61 + 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 + 4x + -12x = -61 + 12x + -12x

Combine like terms: 4x + -12x = -8x
27 + -8x = -61 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -8x = -61 + 0
27 + -8x = -61

Add '-27' to each side of the equation.
27 + -27 + -8x = -61 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -61 + -27
-8x = -61 + -27

Combine like terms: -61 + -27 = -88
-8x = -88

Divide each side by '-8'.
x = 11

Simplifying
x = 11

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