5(3c-1)-2=11c+5

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Solution for 5(3c-1)-2=11c+5 equation:


Simplifying
5(3c + -1) + -2 = 11c + 5

Reorder the terms:
5(-1 + 3c) + -2 = 11c + 5
(-1 * 5 + 3c * 5) + -2 = 11c + 5
(-5 + 15c) + -2 = 11c + 5

Reorder the terms:
-5 + -2 + 15c = 11c + 5

Combine like terms: -5 + -2 = -7
-7 + 15c = 11c + 5

Reorder the terms:
-7 + 15c = 5 + 11c

Solving
-7 + 15c = 5 + 11c

Solving for variable 'c'.

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

Add '-11c' to each side of the equation.
-7 + 15c + -11c = 5 + 11c + -11c

Combine like terms: 15c + -11c = 4c
-7 + 4c = 5 + 11c + -11c

Combine like terms: 11c + -11c = 0
-7 + 4c = 5 + 0
-7 + 4c = 5

Add '7' to each side of the equation.
-7 + 7 + 4c = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 4c = 5 + 7
4c = 5 + 7

Combine like terms: 5 + 7 = 12
4c = 12

Divide each side by '4'.
c = 3

Simplifying
c = 3

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