-8(2x+9)=5(x-6)

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Solution for -8(2x+9)=5(x-6) equation:


Simplifying
-8(2x + 9) = 5(x + -6)

Reorder the terms:
-8(9 + 2x) = 5(x + -6)
(9 * -8 + 2x * -8) = 5(x + -6)
(-72 + -16x) = 5(x + -6)

Reorder the terms:
-72 + -16x = 5(-6 + x)
-72 + -16x = (-6 * 5 + x * 5)
-72 + -16x = (-30 + 5x)

Solving
-72 + -16x = -30 + 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.
-72 + -16x + -5x = -30 + 5x + -5x

Combine like terms: -16x + -5x = -21x
-72 + -21x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-72 + -21x = -30 + 0
-72 + -21x = -30

Add '72' to each side of the equation.
-72 + 72 + -21x = -30 + 72

Combine like terms: -72 + 72 = 0
0 + -21x = -30 + 72
-21x = -30 + 72

Combine like terms: -30 + 72 = 42
-21x = 42

Divide each side by '-21'.
x = -2

Simplifying
x = -2

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