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

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


Simplifying
4(9 + -2x) = 3(4x + 2)
(9 * 4 + -2x * 4) = 3(4x + 2)
(36 + -8x) = 3(4x + 2)

Reorder the terms:
36 + -8x = 3(2 + 4x)
36 + -8x = (2 * 3 + 4x * 3)
36 + -8x = (6 + 12x)

Solving
36 + -8x = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
36 + -8x + -12x = 6 + 12x + -12x

Combine like terms: -8x + -12x = -20x
36 + -20x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -20x = 6 + 0
36 + -20x = 6

Add '-36' to each side of the equation.
36 + -36 + -20x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -20x = 6 + -36
-20x = 6 + -36

Combine like terms: 6 + -36 = -30
-20x = -30

Divide each side by '-20'.
x = 1.5

Simplifying
x = 1.5

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