7x-12=5x+10

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Solution for 7x-12=5x+10 equation:


Simplifying
7x + -12 = 5x + 10

Reorder the terms:
-12 + 7x = 5x + 10

Reorder the terms:
-12 + 7x = 10 + 5x

Solving
-12 + 7x = 10 + 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.
-12 + 7x + -5x = 10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-12 + 2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 2x = 10 + 0
-12 + 2x = 10

Add '12' to each side of the equation.
-12 + 12 + 2x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 10 + 12
2x = 10 + 12

Combine like terms: 10 + 12 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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