2(3x-4)=9x-2

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Solution for 2(3x-4)=9x-2 equation:


Simplifying
2(3x + -4) = 9x + -2

Reorder the terms:
2(-4 + 3x) = 9x + -2
(-4 * 2 + 3x * 2) = 9x + -2
(-8 + 6x) = 9x + -2

Reorder the terms:
-8 + 6x = -2 + 9x

Solving
-8 + 6x = -2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 6x + -9x = -2 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-8 + -3x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -3x = -2 + 0
-8 + -3x = -2

Add '8' to each side of the equation.
-8 + 8 + -3x = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -2 + 8
-3x = -2 + 8

Combine like terms: -2 + 8 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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