8(1+5x)+5=13+5xC

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Solution for 8(1+5x)+5=13+5xC equation: 


Simplifying
8(1 + 5x) + 5 = 13 + 5xC
(1 * 8 + 5x * 8) + 5 = 13 + 5xC
(8 + 40x) + 5 = 13 + 5xC

Reorder the terms:
8 + 5 + 40x = 13 + 5xC

Combine like terms: 8 + 5 = 13
13 + 40x = 13 + 5xC

Add '-13' to each side of the equation.
13 + -13 + 40x = 13 + -13 + 5xC

Combine like terms: 13 + -13 = 0
0 + 40x = 13 + -13 + 5xC
40x = 13 + -13 + 5xC

Combine like terms: 13 + -13 = 0
40x = 0 + 5xC
40x = 5xC

Solving
40x = 5xC

Solving for variable 'x'.

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

Add '-5xC' to each side of the equation.
40x + -5xC = 5xC + -5xC

Combine like terms: 5xC + -5xC = 0
40x + -5xC = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(8 + -1C) = 0

Ignore the factor 5.

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 '(8 + -1C)' equal to zero and attempt to solve:

Simplifying
8 + -1C = 0

Solving
8 + -1C = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1C = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1C = 0 + -8
-1C = 0 + -8

Combine like terms: 0 + -8 = -8
-1C = -8

Add 'C' to each side of the equation.
-1C + C = -8 + C

Combine like terms: -1C + C = 0
0 = -8 + C

Simplifying
0 = -8 + C

The solution to this equation could not be determined.

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

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