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

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


Simplifying
6(x + -4) + -1(-4x + -8) = 9x

Reorder the terms:
6(-4 + x) + -1(-4x + -8) = 9x
(-4 * 6 + x * 6) + -1(-4x + -8) = 9x
(-24 + 6x) + -1(-4x + -8) = 9x

Reorder the terms:
-24 + 6x + -1(-8 + -4x) = 9x
-24 + 6x + (-8 * -1 + -4x * -1) = 9x
-24 + 6x + (8 + 4x) = 9x

Reorder the terms:
-24 + 8 + 6x + 4x = 9x

Combine like terms: -24 + 8 = -16
-16 + 6x + 4x = 9x

Combine like terms: 6x + 4x = 10x
-16 + 10x = 9x

Solving
-16 + 10x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-16 + 10x + -9x = 9x + -9x

Combine like terms: 10x + -9x = 1x
-16 + 1x = 9x + -9x

Combine like terms: 9x + -9x = 0
-16 + 1x = 0

Add '16' to each side of the equation.
-16 + 16 + 1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 0 + 16
1x = 0 + 16

Combine like terms: 0 + 16 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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