2(2x+4)=3(2x-1)-9

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Solution for 2(2x+4)=3(2x-1)-9 equation:


Simplifying
2(2x + 4) = 3(2x + -1) + -9

Reorder the terms:
2(4 + 2x) = 3(2x + -1) + -9
(4 * 2 + 2x * 2) = 3(2x + -1) + -9
(8 + 4x) = 3(2x + -1) + -9

Reorder the terms:
8 + 4x = 3(-1 + 2x) + -9
8 + 4x = (-1 * 3 + 2x * 3) + -9
8 + 4x = (-3 + 6x) + -9

Reorder the terms:
8 + 4x = -3 + -9 + 6x

Combine like terms: -3 + -9 = -12
8 + 4x = -12 + 6x

Solving
8 + 4x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = -12 + 0
8 + -2x = -12

Add '-8' to each side of the equation.
8 + -8 + -2x = -12 + -8

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

Combine like terms: -12 + -8 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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