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

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


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

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

Reorder the terms:
8 + 6x = -4 + 9x

Solving
8 + 6x = -4 + 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 = -4 + 9x + -9x

Combine like terms: 6x + -9x = -3x
8 + -3x = -4 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -3x = -4 + 0
8 + -3x = -4

Add '-8' to each side of the equation.
8 + -8 + -3x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -4 + -8
-3x = -4 + -8

Combine like terms: -4 + -8 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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