2c+2(c+5)=xc+10

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Solution for 2c+2(c+5)=xc+10 equation: 


Simplifying
2c + 2(c + 5) = xc + 10

Reorder the terms:
2c + 2(5 + c) = xc + 10
2c + (5 * 2 + c * 2) = xc + 10
2c + (10 + 2c) = xc + 10

Reorder the terms:
10 + 2c + 2c = xc + 10

Combine like terms: 2c + 2c = 4c
10 + 4c = xc + 10

Reorder the terms:
10 + 4c = 10 + cx

Add '-10' to each side of the equation.
10 + -10 + 4c = 10 + -10 + cx

Combine like terms: 10 + -10 = 0
0 + 4c = 10 + -10 + cx
4c = 10 + -10 + cx

Combine like terms: 10 + -10 = 0
4c = 0 + cx
4c = cx

Solving
4c = cx

Solving for variable 'c'.

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

Add '-1cx' to each side of the equation.
4c + -1cx = cx + -1cx

Combine like terms: cx + -1cx = 0
4c + -1cx = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(4 + -1x) = 0


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

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + x

The solution to this equation could not be determined.

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

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