7x+12=10x-22

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Solution for 7x+12=10x-22 equation:


Simplifying
7x + 12 = 10x + -22

Reorder the terms:
12 + 7x = 10x + -22

Reorder the terms:
12 + 7x = -22 + 10x

Solving
12 + 7x = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 7x + -10x = -22 + 10x + -10x

Combine like terms: 7x + -10x = -3x
12 + -3x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -3x = -22 + 0
12 + -3x = -22

Add '-12' to each side of the equation.
12 + -12 + -3x = -22 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -22 + -12
-3x = -22 + -12

Combine like terms: -22 + -12 = -34
-3x = -34

Divide each side by '-3'.
x = 11.33333333

Simplifying
x = 11.33333333

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