4e^3x-7=113

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Solution for 4e^3x-7=113 equation: 


Simplifying
4e3x + -7 = 113

Reorder the terms:
-7 + 4e3x = 113

Solving
-7 + 4e3x = 113

Solving for variable 'e'.

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

Add '7' to each side of the equation.
-7 + 7 + 4e3x = 113 + 7

Combine like terms: -7 + 7 = 0
0 + 4e3x = 113 + 7
4e3x = 113 + 7

Combine like terms: 113 + 7 = 120
4e3x = 120

Divide each side by '4x'.
e3 = 30x-1

Simplifying
e3 = 30x-1

Combine like terms: 30x-1 + -30x-1 = 0
e3 + -30x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -30) = 0


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

Simplifying
x-1 = 0

Solving
x-1 = 0

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

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

Simplifying
0 = -1x-1

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 '(e3x + -30)' equal to zero and attempt to solve:

Simplifying
e3x + -30 = 0

Reorder the terms:
-30 + e3x = 0

Solving
-30 + e3x = 0

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

Add '30' to each side of the equation.
-30 + 30 + e3x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + e3x = 0 + 30
e3x = 0 + 30

Combine like terms: 0 + 30 = 30
e3x = 30

Divide each side by 'x'.
e3 = 30x-1

Simplifying
e3 = 30x-1

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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