-4(x-6)=-3(6x+9)

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Solution for -4(x-6)=-3(6x+9) equation:


Simplifying
-4(x + -6) = -3(6x + 9)

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

Reorder the terms:
24 + -4x = -3(9 + 6x)
24 + -4x = (9 * -3 + 6x * -3)
24 + -4x = (-27 + -18x)

Solving
24 + -4x = -27 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
24 + -4x + 18x = -27 + -18x + 18x

Combine like terms: -4x + 18x = 14x
24 + 14x = -27 + -18x + 18x

Combine like terms: -18x + 18x = 0
24 + 14x = -27 + 0
24 + 14x = -27

Add '-24' to each side of the equation.
24 + -24 + 14x = -27 + -24

Combine like terms: 24 + -24 = 0
0 + 14x = -27 + -24
14x = -27 + -24

Combine like terms: -27 + -24 = -51
14x = -51

Divide each side by '14'.
x = -3.642857143

Simplifying
x = -3.642857143

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