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

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


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

Reorder the terms:
4(4 + 2x) = 3(x + -2)
(4 * 4 + 2x * 4) = 3(x + -2)
(16 + 8x) = 3(x + -2)

Reorder the terms:
16 + 8x = 3(-2 + x)
16 + 8x = (-2 * 3 + x * 3)
16 + 8x = (-6 + 3x)

Solving
16 + 8x = -6 + 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.
16 + 8x + -3x = -6 + 3x + -3x

Combine like terms: 8x + -3x = 5x
16 + 5x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 5x = -6 + 0
16 + 5x = -6

Add '-16' to each side of the equation.
16 + -16 + 5x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -6 + -16
5x = -6 + -16

Combine like terms: -6 + -16 = -22
5x = -22

Divide each side by '5'.
x = -4.4

Simplifying
x = -4.4

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