-3(3x-2)=5x-8

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Solution for -3(3x-2)=5x-8 equation:


Simplifying
-3(3x + -2) = 5x + -8

Reorder the terms:
-3(-2 + 3x) = 5x + -8
(-2 * -3 + 3x * -3) = 5x + -8
(6 + -9x) = 5x + -8

Reorder the terms:
6 + -9x = -8 + 5x

Solving
6 + -9x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -9x + -5x = -8 + 5x + -5x

Combine like terms: -9x + -5x = -14x
6 + -14x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -14x = -8 + 0
6 + -14x = -8

Add '-6' to each side of the equation.
6 + -6 + -14x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = -8 + -6
-14x = -8 + -6

Combine like terms: -8 + -6 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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