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

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


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

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

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

Solving
-12 + 9x = -8 + 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.
-12 + 9x + -2x = -8 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-12 + 7x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 7x = -8 + 0
-12 + 7x = -8

Add '12' to each side of the equation.
-12 + 12 + 7x = -8 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = -8 + 12
7x = -8 + 12

Combine like terms: -8 + 12 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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