12-(3x+10)=-x+8

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Solution for 12-(3x+10)=-x+8 equation:


Simplifying
12 + -1(3x + 10) = -1x + 8

Reorder the terms:
12 + -1(10 + 3x) = -1x + 8
12 + (10 * -1 + 3x * -1) = -1x + 8
12 + (-10 + -3x) = -1x + 8

Combine like terms: 12 + -10 = 2
2 + -3x = -1x + 8

Reorder the terms:
2 + -3x = 8 + -1x

Solving
2 + -3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -3x + x = 8 + -1x + x

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

Combine like terms: -1x + x = 0
2 + -2x = 8 + 0
2 + -2x = 8

Add '-2' to each side of the equation.
2 + -2 + -2x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 8 + -2
-2x = 8 + -2

Combine like terms: 8 + -2 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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