3-1(x-9)=-6+4x-2-3x

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Solution for 3-1(x-9)=-6+4x-2-3x equation: 


Simplifying
3 + -1(x + -9) = -6 + 4x + -2 + -3x

Reorder the terms:
3 + -1(-9 + x) = -6 + 4x + -2 + -3x
3 + (-9 * -1 + x * -1) = -6 + 4x + -2 + -3x
3 + (9 + -1x) = -6 + 4x + -2 + -3x

Combine like terms: 3 + 9 = 12
12 + -1x = -6 + 4x + -2 + -3x

Reorder the terms:
12 + -1x = -6 + -2 + 4x + -3x

Combine like terms: -6 + -2 = -8
12 + -1x = -8 + 4x + -3x

Combine like terms: 4x + -3x = 1x
12 + -1x = -8 + 1x

Solving
12 + -1x = -8 + 1x

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 0
12 + -2x = -8 + 0
12 + -2x = -8

Add '-12' to each side of the equation.
12 + -12 + -2x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -8 + -12
-2x = -8 + -12

Combine like terms: -8 + -12 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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