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

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

Simplifying
3(5 + c) = 2(c + -3)
(5 * 3 + c * 3) = 2(c + -3)
(15 + 3c) = 2(c + -3)

Reorder the terms:
15 + 3c = 2(-3 + c)
15 + 3c = (-3 * 2 + c * 2)
15 + 3c = (-6 + 2c)

Solving
15 + 3c = -6 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
15 + 3c + -2c = -6 + 2c + -2c

Combine like terms: 3c + -2c = 1c
15 + 1c = -6 + 2c + -2c

Combine like terms: 2c + -2c = 0
15 + 1c = -6 + 0
15 + 1c = -6

Add '-15' to each side of the equation.
15 + -15 + 1c = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 1c = -6 + -15
1c = -6 + -15

Combine like terms: -6 + -15 = -21
1c = -21

Divide each side by '1'.
c = -21

Simplifying
c = -21