2(2c+4)-2(5-c)=3(c-1)-2

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Solution for 2(2c+4)-2(5-c)=3(c-1)-2 equation:


Simplifying
2(2c + 4) + -2(5 + -1c) = 3(c + -1) + -2

Reorder the terms:
2(4 + 2c) + -2(5 + -1c) = 3(c + -1) + -2
(4 * 2 + 2c * 2) + -2(5 + -1c) = 3(c + -1) + -2
(8 + 4c) + -2(5 + -1c) = 3(c + -1) + -2
8 + 4c + (5 * -2 + -1c * -2) = 3(c + -1) + -2
8 + 4c + (-10 + 2c) = 3(c + -1) + -2

Reorder the terms:
8 + -10 + 4c + 2c = 3(c + -1) + -2

Combine like terms: 8 + -10 = -2
-2 + 4c + 2c = 3(c + -1) + -2

Combine like terms: 4c + 2c = 6c
-2 + 6c = 3(c + -1) + -2

Reorder the terms:
-2 + 6c = 3(-1 + c) + -2
-2 + 6c = (-1 * 3 + c * 3) + -2
-2 + 6c = (-3 + 3c) + -2

Reorder the terms:
-2 + 6c = -3 + -2 + 3c

Combine like terms: -3 + -2 = -5
-2 + 6c = -5 + 3c

Solving
-2 + 6c = -5 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-2 + 6c + -3c = -5 + 3c + -3c

Combine like terms: 6c + -3c = 3c
-2 + 3c = -5 + 3c + -3c

Combine like terms: 3c + -3c = 0
-2 + 3c = -5 + 0
-2 + 3c = -5

Add '2' to each side of the equation.
-2 + 2 + 3c = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 3c = -5 + 2
3c = -5 + 2

Combine like terms: -5 + 2 = -3
3c = -3

Divide each side by '3'.
c = -1

Simplifying
c = -1

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