-10-x=3*(2x-2)-2*(x-3)

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Solution for -10-x=3*(2x-2)-2*(x-3) equation:


Simplifying
-10 + -1x = 3(2x + -2) + -2(x + -3)

Reorder the terms:
-10 + -1x = 3(-2 + 2x) + -2(x + -3)
-10 + -1x = (-2 * 3 + 2x * 3) + -2(x + -3)
-10 + -1x = (-6 + 6x) + -2(x + -3)

Reorder the terms:
-10 + -1x = -6 + 6x + -2(-3 + x)
-10 + -1x = -6 + 6x + (-3 * -2 + x * -2)
-10 + -1x = -6 + 6x + (6 + -2x)

Reorder the terms:
-10 + -1x = -6 + 6 + 6x + -2x

Combine like terms: -6 + 6 = 0
-10 + -1x = 0 + 6x + -2x
-10 + -1x = 6x + -2x

Combine like terms: 6x + -2x = 4x
-10 + -1x = 4x

Solving
-10 + -1x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + -1x + -4x = 4x + -4x

Combine like terms: -1x + -4x = -5x
-10 + -5x = 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -5x = 0

Add '10' to each side of the equation.
-10 + 10 + -5x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -5x = 0 + 10
-5x = 0 + 10

Combine like terms: 0 + 10 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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