2(3x+6)=4x-9

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Solution for 2(3x+6)=4x-9 equation:


Simplifying
2(3x + 6) = 4x + -9

Reorder the terms:
2(6 + 3x) = 4x + -9
(6 * 2 + 3x * 2) = 4x + -9
(12 + 6x) = 4x + -9

Reorder the terms:
12 + 6x = -9 + 4x

Solving
12 + 6x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 6x + -4x = -9 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -9 + 0
12 + 2x = -9

Add '-12' to each side of the equation.
12 + -12 + 2x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -9 + -12
2x = -9 + -12

Combine like terms: -9 + -12 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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