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

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


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

Reorder the terms:
3(3 + -3x) = -2(x + -10) + -8x
(3 * 3 + -3x * 3) = -2(x + -10) + -8x
(9 + -9x) = -2(x + -10) + -8x

Reorder the terms:
9 + -9x = -2(-10 + x) + -8x
9 + -9x = (-10 * -2 + x * -2) + -8x
9 + -9x = (20 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
9 + -9x = 20 + -10x

Solving
9 + -9x = 20 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
9 + -9x + 10x = 20 + -10x + 10x

Combine like terms: -9x + 10x = 1x
9 + 1x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
9 + 1x = 20 + 0
9 + 1x = 20

Add '-9' to each side of the equation.
9 + -9 + 1x = 20 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 20 + -9
1x = 20 + -9

Combine like terms: 20 + -9 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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