-6(x-4)=5x+9

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Solution for -6(x-4)=5x+9 equation:


Simplifying
-6(x + -4) = 5x + 9

Reorder the terms:
-6(-4 + x) = 5x + 9
(-4 * -6 + x * -6) = 5x + 9
(24 + -6x) = 5x + 9

Reorder the terms:
24 + -6x = 9 + 5x

Solving
24 + -6x = 9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + -6x + -5x = 9 + 5x + -5x

Combine like terms: -6x + -5x = -11x
24 + -11x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -11x = 9 + 0
24 + -11x = 9

Add '-24' to each side of the equation.
24 + -24 + -11x = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -11x = 9 + -24
-11x = 9 + -24

Combine like terms: 9 + -24 = -15
-11x = -15

Divide each side by '-11'.
x = 1.363636364

Simplifying
x = 1.363636364

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