e^7x-7=3

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


Simplifying
e7x + -7 = 3

Reorder the terms:
-7 + e7x = 3

Solving
-7 + e7x = 3

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 + e7x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + e7x = 3 + 7
e7x = 3 + 7

Combine like terms: 3 + 7 = 10
e7x = 10

Divide each side by 'x'.
e7 = 10x-1

Simplifying
e7 = 10x-1

Combine like terms: 10x-1 + -10x-1 = 0
e7 + -10x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -10) = 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 '(e7x + -10)' equal to zero and attempt to solve: Simplifying e7x + -10 = 0 Reorder the terms: -10 + e7x = 0 Solving -10 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + e7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + e7x = 0 + 10 e7x = 0 + 10 Combine like terms: 0 + 10 = 10 e7x = 10 Divide each side by 'x'. e7 = 10x-1 Simplifying e7 = 10x-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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