6x=3(x+4)forx

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Solution for 6x=3(x+4)forx equation: 


Simplifying
6x = 3(x + 4) * forx

Reorder the terms:
6x = 3(4 + x) * forx

Reorder the terms for easier multiplication:
6x = 3forx(4 + x)
6x = (4 * 3forx + x * 3forx)
6x = (12forx + 3forx2)

Solving
6x = 12forx + 3forx2

Solving for variable 'x'.

Reorder the terms:
-12forx + -3forx2 + 6x = 12forx + 3forx2 + -12forx + -3forx2

Reorder the terms:
-12forx + -3forx2 + 6x = 12forx + -12forx + 3forx2 + -3forx2

Combine like terms: 12forx + -12forx = 0
-12forx + -3forx2 + 6x = 0 + 3forx2 + -3forx2
-12forx + -3forx2 + 6x = 3forx2 + -3forx2

Combine like terms: 3forx2 + -3forx2 = 0
-12forx + -3forx2 + 6x = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4for + -1forx + 2) = 0

Ignore the factor 3.

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 '(-4for + -1forx + 2)' equal to zero and attempt to solve:

Simplifying
-4for + -1forx + 2 = 0

Reorder the terms:
2 + -4for + -1forx = 0

Solving
2 + -4for + -1forx = 0

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

Add '-2' to each side of the equation.
2 + -4for + -2 + -1forx = 0 + -2

Reorder the terms:
2 + -2 + -4for + -1forx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -4for + -1forx = 0 + -2
-4for + -1forx = 0 + -2

Combine like terms: 0 + -2 = -2
-4for + -1forx = -2

Add '4for' to each side of the equation.
-4for + 4for + -1forx = -2 + 4for

Combine like terms: -4for + 4for = 0
0 + -1forx = -2 + 4for
-1forx = -2 + 4for

Divide each side by '-1for'.
x = 2f-1o-1r-1 + -4

Simplifying
x = 2f-1o-1r-1 + -4

Reorder the terms:
x = -4 + 2f-1o-1r-1
Solution
x = {0, -4 + 2f-1o-1r-1}

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