10-2x+2=-3x+8

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Solution for 10-2x+2=-3x+8 equation:


Simplifying
10 + -2x + 2 = -3x + 8

Reorder the terms:
10 + 2 + -2x = -3x + 8

Combine like terms: 10 + 2 = 12
12 + -2x = -3x + 8

Reorder the terms:
12 + -2x = 8 + -3x

Solving
12 + -2x = 8 + -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 + -2x + 3x = 8 + -3x + 3x

Combine like terms: -2x + 3x = 1x
12 + 1x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 1x = 8 + 0
12 + 1x = 8

Add '-12' to each side of the equation.
12 + -12 + 1x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 8 + -12
1x = 8 + -12

Combine like terms: 8 + -12 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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