5(-3+7c)=3(7c+11)+(4-12c)

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Solution for 5(-3+7c)=3(7c+11)+(4-12c) equation:


Simplifying
5(-3 + 7c) = 3(7c + 11) + (4 + -12c)
(-3 * 5 + 7c * 5) = 3(7c + 11) + (4 + -12c)
(-15 + 35c) = 3(7c + 11) + (4 + -12c)

Reorder the terms:
-15 + 35c = 3(11 + 7c) + (4 + -12c)
-15 + 35c = (11 * 3 + 7c * 3) + (4 + -12c)
-15 + 35c = (33 + 21c) + (4 + -12c)

Remove parenthesis around (4 + -12c)
-15 + 35c = 33 + 21c + 4 + -12c

Reorder the terms:
-15 + 35c = 33 + 4 + 21c + -12c

Combine like terms: 33 + 4 = 37
-15 + 35c = 37 + 21c + -12c

Combine like terms: 21c + -12c = 9c
-15 + 35c = 37 + 9c

Solving
-15 + 35c = 37 + 9c

Solving for variable 'c'.

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

Add '-9c' to each side of the equation.
-15 + 35c + -9c = 37 + 9c + -9c

Combine like terms: 35c + -9c = 26c
-15 + 26c = 37 + 9c + -9c

Combine like terms: 9c + -9c = 0
-15 + 26c = 37 + 0
-15 + 26c = 37

Add '15' to each side of the equation.
-15 + 15 + 26c = 37 + 15

Combine like terms: -15 + 15 = 0
0 + 26c = 37 + 15
26c = 37 + 15

Combine like terms: 37 + 15 = 52
26c = 52

Divide each side by '26'.
c = 2

Simplifying
c = 2

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