38-(2c+4)=4(c+5)+c

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Solution for 38-(2c+4)=4(c+5)+c equation: 


Simplifying
38 + -1(2c + 4) = 4(c + 5) + c

Reorder the terms:
38 + -1(4 + 2c) = 4(c + 5) + c
38 + (4 * -1 + 2c * -1) = 4(c + 5) + c
38 + (-4 + -2c) = 4(c + 5) + c

Combine like terms: 38 + -4 = 34
34 + -2c = 4(c + 5) + c

Reorder the terms:
34 + -2c = 4(5 + c) + c
34 + -2c = (5 * 4 + c * 4) + c
34 + -2c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
34 + -2c = 20 + 5c

Solving
34 + -2c = 20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
34 + -2c + -5c = 20 + 5c + -5c

Combine like terms: -2c + -5c = -7c
34 + -7c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
34 + -7c = 20 + 0
34 + -7c = 20

Add '-34' to each side of the equation.
34 + -34 + -7c = 20 + -34

Combine like terms: 34 + -34 = 0
0 + -7c = 20 + -34
-7c = 20 + -34

Combine like terms: 20 + -34 = -14
-7c = -14

Divide each side by '-7'.
c = 2

Simplifying
c = 2

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