3(3x-4)-2(x-1)+2x=8

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Solution for 3(3x-4)-2(x-1)+2x=8 equation:


Simplifying
3(3x + -4) + -2(x + -1) + 2x = 8

Reorder the terms:
3(-4 + 3x) + -2(x + -1) + 2x = 8
(-4 * 3 + 3x * 3) + -2(x + -1) + 2x = 8
(-12 + 9x) + -2(x + -1) + 2x = 8

Reorder the terms:
-12 + 9x + -2(-1 + x) + 2x = 8
-12 + 9x + (-1 * -2 + x * -2) + 2x = 8
-12 + 9x + (2 + -2x) + 2x = 8

Reorder the terms:
-12 + 2 + 9x + -2x + 2x = 8

Combine like terms: -12 + 2 = -10
-10 + 9x + -2x + 2x = 8

Combine like terms: 9x + -2x = 7x
-10 + 7x + 2x = 8

Combine like terms: 7x + 2x = 9x
-10 + 9x = 8

Solving
-10 + 9x = 8

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 9x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 9x = 8 + 10
9x = 8 + 10

Combine like terms: 8 + 10 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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