x+78=2x-14

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Solution for x+78=2x-14 equation:


Simplifying
x + 78 = 2x + -14

Reorder the terms:
78 + x = 2x + -14

Reorder the terms:
78 + x = -14 + 2x

Solving
78 + x = -14 + 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.
78 + x + -2x = -14 + 2x + -2x

Combine like terms: x + -2x = -1x
78 + -1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
78 + -1x = -14 + 0
78 + -1x = -14

Add '-78' to each side of the equation.
78 + -78 + -1x = -14 + -78

Combine like terms: 78 + -78 = 0
0 + -1x = -14 + -78
-1x = -14 + -78

Combine like terms: -14 + -78 = -92
-1x = -92

Divide each side by '-1'.
x = 92

Simplifying
x = 92

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