12x=-8(10-x)forx

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Solution for 12x=-8(10-x)forx equation: 


Simplifying
12x = -8(10 + -1x) * forx

Reorder the terms for easier multiplication:
12x = -8forx(10 + -1x)
12x = (10 * -8forx + -1x * -8forx)
12x = (-80forx + 8forx2)

Solving
12x = -80forx + 8forx2

Solving for variable 'x'.

Reorder the terms:
80forx + -8forx2 + 12x = -80forx + 8forx2 + 80forx + -8forx2

Reorder the terms:
80forx + -8forx2 + 12x = -80forx + 80forx + 8forx2 + -8forx2

Combine like terms: -80forx + 80forx = 0
80forx + -8forx2 + 12x = 0 + 8forx2 + -8forx2
80forx + -8forx2 + 12x = 8forx2 + -8forx2

Combine like terms: 8forx2 + -8forx2 = 0
80forx + -8forx2 + 12x = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(20for + -2forx + 3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(20for + -2forx + 3)' equal to zero and attempt to solve:

Simplifying
20for + -2forx + 3 = 0

Reorder the terms:
3 + 20for + -2forx = 0

Solving
3 + 20for + -2forx = 0

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

Add '-3' to each side of the equation.
3 + 20for + -3 + -2forx = 0 + -3

Reorder the terms:
3 + -3 + 20for + -2forx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 20for + -2forx = 0 + -3
20for + -2forx = 0 + -3

Combine like terms: 0 + -3 = -3
20for + -2forx = -3

Add '-20for' to each side of the equation.
20for + -20for + -2forx = -3 + -20for

Combine like terms: 20for + -20for = 0
0 + -2forx = -3 + -20for
-2forx = -3 + -20for

Divide each side by '-2for'.
x = 1.5f-1o-1r-1 + 10

Simplifying
x = 1.5f-1o-1r-1 + 10

Reorder the terms:
x = 10 + 1.5f-1o-1r-1
Solution
x = {0, 10 + 1.5f-1o-1r-1}

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