6x+10=5x-12

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


Simplifying
6x + 10 = 5x + -12

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

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

Solving
10 + 6x = -12 + 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.
10 + 6x + -5x = -12 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
10 + 1x = -12 + 0
10 + 1x = -12

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

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

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

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

Simplifying
x = -22

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