9x-3(x-1)=9x+20-2x

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Solution for 9x-3(x-1)=9x+20-2x equation:


Simplifying
9x + -3(x + -1) = 9x + 20 + -2x

Reorder the terms:
9x + -3(-1 + x) = 9x + 20 + -2x
9x + (-1 * -3 + x * -3) = 9x + 20 + -2x
9x + (3 + -3x) = 9x + 20 + -2x

Reorder the terms:
3 + 9x + -3x = 9x + 20 + -2x

Combine like terms: 9x + -3x = 6x
3 + 6x = 9x + 20 + -2x

Reorder the terms:
3 + 6x = 20 + 9x + -2x

Combine like terms: 9x + -2x = 7x
3 + 6x = 20 + 7x

Solving
3 + 6x = 20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 6x + -7x = 20 + 7x + -7x

Combine like terms: 6x + -7x = -1x
3 + -1x = 20 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -1x = 20 + 0
3 + -1x = 20

Add '-3' to each side of the equation.
3 + -3 + -1x = 20 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 20 + -3
-1x = 20 + -3

Combine like terms: 20 + -3 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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