5x-2+2x-10=2x+2+1x-8

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Solution for 5x-2+2x-10=2x+2+1x-8 equation: 


Simplifying
5x + -2 + 2x + -10 = 2x + 2 + 1x + -8

Reorder the terms:
-2 + -10 + 5x + 2x = 2x + 2 + 1x + -8

Combine like terms: -2 + -10 = -12
-12 + 5x + 2x = 2x + 2 + 1x + -8

Combine like terms: 5x + 2x = 7x
-12 + 7x = 2x + 2 + 1x + -8

Reorder the terms:
-12 + 7x = 2 + -8 + 2x + 1x

Combine like terms: 2 + -8 = -6
-12 + 7x = -6 + 2x + 1x

Combine like terms: 2x + 1x = 3x
-12 + 7x = -6 + 3x

Solving
-12 + 7x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 7x + -3x = -6 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-12 + 4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 4x = -6 + 0
-12 + 4x = -6

Add '12' to each side of the equation.
-12 + 12 + 4x = -6 + 12

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

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

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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