x+12=5x-14

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Solution for x+12=5x-14 equation:


Simplifying
x + 12 = 5x + -14

Reorder the terms:
12 + x = 5x + -14

Reorder the terms:
12 + x = -14 + 5x

Solving
12 + x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + x + -5x = -14 + 5x + -5x

Combine like terms: x + -5x = -4x
12 + -4x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -4x = -14 + 0
12 + -4x = -14

Add '-12' to each side of the equation.
12 + -12 + -4x = -14 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -14 + -12
-4x = -14 + -12

Combine like terms: -14 + -12 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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