2(c+5)+3(2c+2)=2+2(3c+10)

Solution for 2(c+5)+3(2c+2)=2+2(3c+10) equation:

Simplifying
2(c + 5) + 3(2c + 2) = 2 + 2(3c + 10)

Reorder the terms:
2(5 + c) + 3(2c + 2) = 2 + 2(3c + 10)
(5 * 2 + c * 2) + 3(2c + 2) = 2 + 2(3c + 10)
(10 + 2c) + 3(2c + 2) = 2 + 2(3c + 10)

Reorder the terms:
10 + 2c + 3(2 + 2c) = 2 + 2(3c + 10)
10 + 2c + (2 * 3 + 2c * 3) = 2 + 2(3c + 10)
10 + 2c + (6 + 6c) = 2 + 2(3c + 10)

Reorder the terms:
10 + 6 + 2c + 6c = 2 + 2(3c + 10)

Combine like terms: 10 + 6 = 16
16 + 2c + 6c = 2 + 2(3c + 10)

Combine like terms: 2c + 6c = 8c
16 + 8c = 2 + 2(3c + 10)

Reorder the terms:
16 + 8c = 2 + 2(10 + 3c)
16 + 8c = 2 + (10 * 2 + 3c * 2)
16 + 8c = 2 + (20 + 6c)

Combine like terms: 2 + 20 = 22
16 + 8c = 22 + 6c

Solving
16 + 8c = 22 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
16 + 8c + -6c = 22 + 6c + -6c

Combine like terms: 8c + -6c = 2c
16 + 2c = 22 + 6c + -6c

Combine like terms: 6c + -6c = 0
16 + 2c = 22 + 0
16 + 2c = 22

Add '-16' to each side of the equation.
16 + -16 + 2c = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 2c = 22 + -16
2c = 22 + -16

Combine like terms: 22 + -16 = 6
2c = 6

Divide each side by '2'.
c = 3

Simplifying
c = 3