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

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


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

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

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

Solving
8 + 4x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 4x + -3x = -9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
8 + 1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 1x = -9 + 0
8 + 1x = -9

Add '-8' to each side of the equation.
8 + -8 + 1x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -9 + -8
1x = -9 + -8

Combine like terms: -9 + -8 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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