5x-10=2x+12

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Solution for 5x-10=2x+12 equation:


Simplifying
5x + -10 = 2x + 12

Reorder the terms:
-10 + 5x = 2x + 12

Reorder the terms:
-10 + 5x = 12 + 2x

Solving
-10 + 5x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = 12 + 0
-10 + 3x = 12

Add '10' to each side of the equation.
-10 + 10 + 3x = 12 + 10

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

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

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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