4(x-8)-(-9x-4)=12x

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Solution for 4(x-8)-(-9x-4)=12x equation:


Simplifying
4(x + -8) + -1(-9x + -4) = 12x

Reorder the terms:
4(-8 + x) + -1(-9x + -4) = 12x
(-8 * 4 + x * 4) + -1(-9x + -4) = 12x
(-32 + 4x) + -1(-9x + -4) = 12x

Reorder the terms:
-32 + 4x + -1(-4 + -9x) = 12x
-32 + 4x + (-4 * -1 + -9x * -1) = 12x
-32 + 4x + (4 + 9x) = 12x

Reorder the terms:
-32 + 4 + 4x + 9x = 12x

Combine like terms: -32 + 4 = -28
-28 + 4x + 9x = 12x

Combine like terms: 4x + 9x = 13x
-28 + 13x = 12x

Solving
-28 + 13x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-28 + 13x + -12x = 12x + -12x

Combine like terms: 13x + -12x = 1x
-28 + 1x = 12x + -12x

Combine like terms: 12x + -12x = 0
-28 + 1x = 0

Add '28' to each side of the equation.
-28 + 28 + 1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = 0 + 28
1x = 0 + 28

Combine like terms: 0 + 28 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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