5x-6x+27=12x-32+7x

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Solution for 5x-6x+27=12x-32+7x equation:


Simplifying
5x + -6x + 27 = 12x + -32 + 7x

Reorder the terms:
27 + 5x + -6x = 12x + -32 + 7x

Combine like terms: 5x + -6x = -1x
27 + -1x = 12x + -32 + 7x

Reorder the terms:
27 + -1x = -32 + 12x + 7x

Combine like terms: 12x + 7x = 19x
27 + -1x = -32 + 19x

Solving
27 + -1x = -32 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
27 + -1x + -19x = -32 + 19x + -19x

Combine like terms: -1x + -19x = -20x
27 + -20x = -32 + 19x + -19x

Combine like terms: 19x + -19x = 0
27 + -20x = -32 + 0
27 + -20x = -32

Add '-27' to each side of the equation.
27 + -27 + -20x = -32 + -27

Combine like terms: 27 + -27 = 0
0 + -20x = -32 + -27
-20x = -32 + -27

Combine like terms: -32 + -27 = -59
-20x = -59

Divide each side by '-20'.
x = 2.95

Simplifying
x = 2.95

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