8E(x+4)=3E(x+7)

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Solution for 8E(x+4)=3E(x+7) equation: 


Simplifying
8E(x + 4) = 3E(x + 7)

Reorder the terms:
8E(4 + x) = 3E(x + 7)
(4 * 8E + x * 8E) = 3E(x + 7)
(32E + 8xE) = 3E(x + 7)

Reorder the terms:
32E + 8xE = 3E(7 + x)
32E + 8xE = (7 * 3E + x * 3E)
32E + 8xE = (21E + 3xE)

Solving
32E + 8xE = 21E + 3xE

Solving for variable 'E'.

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

Add '-21E' to each side of the equation.
32E + -21E + 8xE = 21E + -21E + 3xE

Combine like terms: 32E + -21E = 11E
11E + 8xE = 21E + -21E + 3xE

Combine like terms: 21E + -21E = 0
11E + 8xE = 0 + 3xE
11E + 8xE = 3xE

Add '-3xE' to each side of the equation.
11E + 8xE + -3xE = 3xE + -3xE

Combine like terms: 8xE + -3xE = 5xE
11E + 5xE = 3xE + -3xE

Combine like terms: 3xE + -3xE = 0
11E + 5xE = 0

Factor out the Greatest Common Factor (GCF), 'E'.
E(11 + 5x) = 0


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

Simplifying
E = 0

Solving
E = 0

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

Simplifying
E = 0

Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Add '-5x' to each side of the equation.
5x + -5x = -11 + -5x

Combine like terms: 5x + -5x = 0
0 = -11 + -5x

Simplifying
0 = -11 + -5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
E = {0}

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