10x-12=4x+22

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Solution for 10x-12=4x+22 equation:


Simplifying
10x + -12 = 4x + 22

Reorder the terms:
-12 + 10x = 4x + 22

Reorder the terms:
-12 + 10x = 22 + 4x

Solving
-12 + 10x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 10x + -4x = 22 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-12 + 6x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 6x = 22 + 0
-12 + 6x = 22

Add '12' to each side of the equation.
-12 + 12 + 6x = 22 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 22 + 12
6x = 22 + 12

Combine like terms: 22 + 12 = 34
6x = 34

Divide each side by '6'.
x = 5.666666667

Simplifying
x = 5.666666667

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