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

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


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

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

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

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

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

Solving
7 + -6x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -6x + -2x = 2x + -2x

Combine like terms: -6x + -2x = -8x
7 + -8x = 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -8x = 0

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875

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