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

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


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

Reorder the terms:
-5(-4 + x) = 6(x + 6)
(-4 * -5 + x * -5) = 6(x + 6)
(20 + -5x) = 6(x + 6)

Reorder the terms:
20 + -5x = 6(6 + x)
20 + -5x = (6 * 6 + x * 6)
20 + -5x = (36 + 6x)

Solving
20 + -5x = 36 + 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.
20 + -5x + -6x = 36 + 6x + -6x

Combine like terms: -5x + -6x = -11x
20 + -11x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -11x = 36 + 0
20 + -11x = 36

Add '-20' to each side of the equation.
20 + -20 + -11x = 36 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = 36 + -20
-11x = 36 + -20

Combine like terms: 36 + -20 = 16
-11x = 16

Divide each side by '-11'.
x = -1.454545455

Simplifying
x = -1.454545455

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