4(2x+8)=3(3x-6)

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Solution for 4(2x+8)=3(3x-6) equation: 


Simplifying
4(2x + 8) = 3(3x + -6)

Reorder the terms:
4(8 + 2x) = 3(3x + -6)
(8 * 4 + 2x * 4) = 3(3x + -6)
(32 + 8x) = 3(3x + -6)

Reorder the terms:
32 + 8x = 3(-6 + 3x)
32 + 8x = (-6 * 3 + 3x * 3)
32 + 8x = (-18 + 9x)

Solving
32 + 8x = -18 + 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.
32 + 8x + -9x = -18 + 9x + -9x

Combine like terms: 8x + -9x = -1x
32 + -1x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
32 + -1x = -18 + 0
32 + -1x = -18

Add '-32' to each side of the equation.
32 + -32 + -1x = -18 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = -18 + -32
-1x = -18 + -32

Combine like terms: -18 + -32 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50

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