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

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


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

Reorder the terms:
-4(-6 + x) = 3(3 + -2x)
(-6 * -4 + x * -4) = 3(3 + -2x)
(24 + -4x) = 3(3 + -2x)
24 + -4x = (3 * 3 + -2x * 3)
24 + -4x = (9 + -6x)

Solving
24 + -4x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
24 + -4x + 6x = 9 + -6x + 6x

Combine like terms: -4x + 6x = 2x
24 + 2x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
24 + 2x = 9 + 0
24 + 2x = 9

Add '-24' to each side of the equation.
24 + -24 + 2x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 9 + -24
2x = 9 + -24

Combine like terms: 9 + -24 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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