4c+6=-5(1-3c)

Solution for 4c+6=-5(1-3c) equation:

Simplifying
4c + 6 = -5(1 + -3c)

Reorder the terms:
6 + 4c = -5(1 + -3c)
6 + 4c = (1 * -5 + -3c * -5)
6 + 4c = (-5 + 15c)

Solving
6 + 4c = -5 + 15c

Solving for variable 'c'.

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

Add '-15c' to each side of the equation.
6 + 4c + -15c = -5 + 15c + -15c

Combine like terms: 4c + -15c = -11c
6 + -11c = -5 + 15c + -15c

Combine like terms: 15c + -15c = 0
6 + -11c = -5 + 0
6 + -11c = -5

Add '-6' to each side of the equation.
6 + -6 + -11c = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -11c = -5 + -6
-11c = -5 + -6

Combine like terms: -5 + -6 = -11
-11c = -11

Divide each side by '-11'.
c = 1

Simplifying
c = 1