5x+12=6x-10

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Solution for 5x+12=6x-10 equation:


Simplifying
5x + 12 = 6x + -10

Reorder the terms:
12 + 5x = 6x + -10

Reorder the terms:
12 + 5x = -10 + 6x

Solving
12 + 5x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 5x + -6x = -10 + 6x + -6x

Combine like terms: 5x + -6x = -1x
12 + -1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -1x = -10 + 0
12 + -1x = -10

Add '-12' to each side of the equation.
12 + -12 + -1x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -10 + -12
-1x = -10 + -12

Combine like terms: -10 + -12 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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