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

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


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

Reorder the terms:
4(4 + 2x) = 3(3x + -9)
(4 * 4 + 2x * 4) = 3(3x + -9)
(16 + 8x) = 3(3x + -9)

Reorder the terms:
16 + 8x = 3(-9 + 3x)
16 + 8x = (-9 * 3 + 3x * 3)
16 + 8x = (-27 + 9x)

Solving
16 + 8x = -27 + 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.
16 + 8x + -9x = -27 + 9x + -9x

Combine like terms: 8x + -9x = -1x
16 + -1x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + -1x = -27 + 0
16 + -1x = -27

Add '-16' to each side of the equation.
16 + -16 + -1x = -27 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -27 + -16
-1x = -27 + -16

Combine like terms: -27 + -16 = -43
-1x = -43

Divide each side by '-1'.
x = 43

Simplifying
x = 43

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