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

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


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

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

Reorder the terms:
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 = -10x
24 + -10x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -10x = 9 + 0
24 + -10x = 9

Add '-24' to each side of the equation.
24 + -24 + -10x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = 9 + -24
-10x = 9 + -24

Combine like terms: 9 + -24 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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