4(6x-8)=9(-4x-8)

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Solution for 4(6x-8)=9(-4x-8) equation:


Simplifying
4(6x + -8) = 9(-4x + -8)

Reorder the terms:
4(-8 + 6x) = 9(-4x + -8)
(-8 * 4 + 6x * 4) = 9(-4x + -8)
(-32 + 24x) = 9(-4x + -8)

Reorder the terms:
-32 + 24x = 9(-8 + -4x)
-32 + 24x = (-8 * 9 + -4x * 9)
-32 + 24x = (-72 + -36x)

Solving
-32 + 24x = -72 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
-32 + 24x + 36x = -72 + -36x + 36x

Combine like terms: 24x + 36x = 60x
-32 + 60x = -72 + -36x + 36x

Combine like terms: -36x + 36x = 0
-32 + 60x = -72 + 0
-32 + 60x = -72

Add '32' to each side of the equation.
-32 + 32 + 60x = -72 + 32

Combine like terms: -32 + 32 = 0
0 + 60x = -72 + 32
60x = -72 + 32

Combine like terms: -72 + 32 = -40
60x = -40

Divide each side by '60'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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