x+27=2x-75

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Solution for x+27=2x-75 equation:


Simplifying
x + 27 = 2x + -75

Reorder the terms:
27 + x = 2x + -75

Reorder the terms:
27 + x = -75 + 2x

Solving
27 + x = -75 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
27 + x + -2x = -75 + 2x + -2x

Combine like terms: x + -2x = -1x
27 + -1x = -75 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + -1x = -75 + 0
27 + -1x = -75

Add '-27' to each side of the equation.
27 + -27 + -1x = -75 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = -75 + -27
-1x = -75 + -27

Combine like terms: -75 + -27 = -102
-1x = -102

Divide each side by '-1'.
x = 102

Simplifying
x = 102

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