3(5c+1)-12=13c+6

Solution for 3(5c+1)-12=13c+6 equation:

Simplifying
3(5c + 1) + -12 = 13c + 6

Reorder the terms:
3(1 + 5c) + -12 = 13c + 6
(1 * 3 + 5c * 3) + -12 = 13c + 6
(3 + 15c) + -12 = 13c + 6

Reorder the terms:
3 + -12 + 15c = 13c + 6

Combine like terms: 3 + -12 = -9
-9 + 15c = 13c + 6

Reorder the terms:
-9 + 15c = 6 + 13c

Solving
-9 + 15c = 6 + 13c

Solving for variable 'c'.

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

Add '-13c' to each side of the equation.
-9 + 15c + -13c = 6 + 13c + -13c

Combine like terms: 15c + -13c = 2c
-9 + 2c = 6 + 13c + -13c

Combine like terms: 13c + -13c = 0
-9 + 2c = 6 + 0
-9 + 2c = 6

Add '9' to each side of the equation.
-9 + 9 + 2c = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2c = 6 + 9
2c = 6 + 9

Combine like terms: 6 + 9 = 15
2c = 15

Divide each side by '2'.
c = 7.5

Simplifying
c = 7.5