0.25(16x-80)+16-10x=8+3(x-8)-12x

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Solution for 0.25(16x-80)+16-10x=8+3(x-8)-12x equation:


Simplifying
0.25(16x + -80) + 16 + -10x = 8 + 3(x + -8) + -12x

Reorder the terms:
0.25(-80 + 16x) + 16 + -10x = 8 + 3(x + -8) + -12x
(-80 * 0.25 + 16x * 0.25) + 16 + -10x = 8 + 3(x + -8) + -12x
(-20 + 4x) + 16 + -10x = 8 + 3(x + -8) + -12x

Reorder the terms:
-20 + 16 + 4x + -10x = 8 + 3(x + -8) + -12x

Combine like terms: -20 + 16 = -4
-4 + 4x + -10x = 8 + 3(x + -8) + -12x

Combine like terms: 4x + -10x = -6x
-4 + -6x = 8 + 3(x + -8) + -12x

Reorder the terms:
-4 + -6x = 8 + 3(-8 + x) + -12x
-4 + -6x = 8 + (-8 * 3 + x * 3) + -12x
-4 + -6x = 8 + (-24 + 3x) + -12x

Combine like terms: 8 + -24 = -16
-4 + -6x = -16 + 3x + -12x

Combine like terms: 3x + -12x = -9x
-4 + -6x = -16 + -9x

Solving
-4 + -6x = -16 + -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.
-4 + -6x + 9x = -16 + -9x + 9x

Combine like terms: -6x + 9x = 3x
-4 + 3x = -16 + -9x + 9x

Combine like terms: -9x + 9x = 0
-4 + 3x = -16 + 0
-4 + 3x = -16

Add '4' to each side of the equation.
-4 + 4 + 3x = -16 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -16 + 4
3x = -16 + 4

Combine like terms: -16 + 4 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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