3(c+2)-4(5-2c)=3(7c-6)-2(2c-5)

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Solution for 3(c+2)-4(5-2c)=3(7c-6)-2(2c-5) equation: 


Simplifying
3(c + 2) + -4(5 + -2c) = 3(7c + -6) + -2(2c + -5)

Reorder the terms:
3(2 + c) + -4(5 + -2c) = 3(7c + -6) + -2(2c + -5)
(2 * 3 + c * 3) + -4(5 + -2c) = 3(7c + -6) + -2(2c + -5)
(6 + 3c) + -4(5 + -2c) = 3(7c + -6) + -2(2c + -5)
6 + 3c + (5 * -4 + -2c * -4) = 3(7c + -6) + -2(2c + -5)
6 + 3c + (-20 + 8c) = 3(7c + -6) + -2(2c + -5)

Reorder the terms:
6 + -20 + 3c + 8c = 3(7c + -6) + -2(2c + -5)

Combine like terms: 6 + -20 = -14
-14 + 3c + 8c = 3(7c + -6) + -2(2c + -5)

Combine like terms: 3c + 8c = 11c
-14 + 11c = 3(7c + -6) + -2(2c + -5)

Reorder the terms:
-14 + 11c = 3(-6 + 7c) + -2(2c + -5)
-14 + 11c = (-6 * 3 + 7c * 3) + -2(2c + -5)
-14 + 11c = (-18 + 21c) + -2(2c + -5)

Reorder the terms:
-14 + 11c = -18 + 21c + -2(-5 + 2c)
-14 + 11c = -18 + 21c + (-5 * -2 + 2c * -2)
-14 + 11c = -18 + 21c + (10 + -4c)

Reorder the terms:
-14 + 11c = -18 + 10 + 21c + -4c

Combine like terms: -18 + 10 = -8
-14 + 11c = -8 + 21c + -4c

Combine like terms: 21c + -4c = 17c
-14 + 11c = -8 + 17c

Solving
-14 + 11c = -8 + 17c

Solving for variable 'c'.

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

Add '-17c' to each side of the equation.
-14 + 11c + -17c = -8 + 17c + -17c

Combine like terms: 11c + -17c = -6c
-14 + -6c = -8 + 17c + -17c

Combine like terms: 17c + -17c = 0
-14 + -6c = -8 + 0
-14 + -6c = -8

Add '14' to each side of the equation.
-14 + 14 + -6c = -8 + 14

Combine like terms: -14 + 14 = 0
0 + -6c = -8 + 14
-6c = -8 + 14

Combine like terms: -8 + 14 = 6
-6c = 6

Divide each side by '-6'.
c = -1

Simplifying
c = -1

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