3forths(x+8)=onethird(x+27)

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Solution for 3forths(x+8)=onethird(x+27) equation: 


Simplifying
3forths(x + 8) = onethird(x + 27)

Reorder the terms:
3fhorst(8 + x) = onethird(x + 27)
(8 * 3fhorst + x * 3fhorst) = onethird(x + 27)
(24fhorst + 3fhorstx) = onethird(x + 27)

Reorder the terms:
24fhorst + 3fhorstx = dehinort(27 + x)
24fhorst + 3fhorstx = (27 * dehinort + x * dehinort)
24fhorst + 3fhorstx = (27dehinort + dehinortx)

Solving
24fhorst + 3fhorstx = 27dehinort + dehinortx

Solving for variable 'f'.

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

Reorder the terms:
-27dehinort + -1dehinortx + 24fhorst + 3fhorstx = 27dehinort + dehinortx + -27dehinort + -1dehinortx

Reorder the terms:
-27dehinort + -1dehinortx + 24fhorst + 3fhorstx = 27dehinort + -27dehinort + dehinortx + -1dehinortx

Combine like terms: 27dehinort + -27dehinort = 0
-27dehinort + -1dehinortx + 24fhorst + 3fhorstx = 0 + dehinortx + -1dehinortx
-27dehinort + -1dehinortx + 24fhorst + 3fhorstx = dehinortx + -1dehinortx

Combine like terms: dehinortx + -1dehinortx = 0
-27dehinort + -1dehinortx + 24fhorst + 3fhorstx = 0

Factor out the Greatest Common Factor (GCF), 'hort'.
hort(-27dein + -1deinx + 24fs + 3fsx) = 0


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

Simplifying
hort = 0

Solving
hort = 0

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

Add '-1hort' to each side of the equation.
hort + -1hort = 0 + -1hort
Remove the zero:
0 = -1hort

Simplifying
0 = -1hort

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-27dein + -1deinx + 24fs + 3fsx)' equal to zero and attempt to solve:

Simplifying
-27dein + -1deinx + 24fs + 3fsx = 0

Solving
-27dein + -1deinx + 24fs + 3fsx = 0

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

Add '27dein' to each side of the equation.
-27dein + -1deinx + 24fs + 27dein + 3fsx = 0 + 27dein

Reorder the terms:
-27dein + 27dein + -1deinx + 24fs + 3fsx = 0 + 27dein

Combine like terms: -27dein + 27dein = 0
0 + -1deinx + 24fs + 3fsx = 0 + 27dein
-1deinx + 24fs + 3fsx = 0 + 27dein
Remove the zero:
-1deinx + 24fs + 3fsx = 27dein

Add 'deinx' to each side of the equation.
-1deinx + 24fs + deinx + 3fsx = 27dein + deinx

Reorder the terms:
-1deinx + deinx + 24fs + 3fsx = 27dein + deinx

Combine like terms: -1deinx + deinx = 0
0 + 24fs + 3fsx = 27dein + deinx
24fs + 3fsx = 27dein + deinx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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