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

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

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

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

Reorder the terms:
3 + 3c = 5(-4 + c)
3 + 3c = (-4 * 5 + c * 5)
3 + 3c = (-20 + 5c)

Solving
3 + 3c = -20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
3 + 3c + -5c = -20 + 5c + -5c

Combine like terms: 3c + -5c = -2c
3 + -2c = -20 + 5c + -5c

Combine like terms: 5c + -5c = 0
3 + -2c = -20 + 0
3 + -2c = -20

Add '-3' to each side of the equation.
3 + -3 + -2c = -20 + -3

Combine like terms: 3 + -3 = 0
0 + -2c = -20 + -3
-2c = -20 + -3

Combine like terms: -20 + -3 = -23
-2c = -23

Divide each side by '-2'.
c = 11.5

Simplifying
c = 11.5