6x+10+22=7x+10-12

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Solution for 6x+10+22=7x+10-12 equation: 


Simplifying
6x + 10 + 22 = 7x + 10 + -12

Reorder the terms:
10 + 22 + 6x = 7x + 10 + -12

Combine like terms: 10 + 22 = 32
32 + 6x = 7x + 10 + -12

Reorder the terms:
32 + 6x = 10 + -12 + 7x

Combine like terms: 10 + -12 = -2
32 + 6x = -2 + 7x

Solving
32 + 6x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
32 + 6x + -7x = -2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
32 + -1x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -1x = -2 + 0
32 + -1x = -2

Add '-32' to each side of the equation.
32 + -32 + -1x = -2 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = -2 + -32
-1x = -2 + -32

Combine like terms: -2 + -32 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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