2(5c+2)-2c=3(2c+3+7)

Solution for 2(5c+2)-2c=3(2c+3+7) equation:

Simplifying
2(5c + 2) + -2c = 3(2c + 3 + 7)

Reorder the terms:
2(2 + 5c) + -2c = 3(2c + 3 + 7)
(2 * 2 + 5c * 2) + -2c = 3(2c + 3 + 7)
(4 + 10c) + -2c = 3(2c + 3 + 7)

Combine like terms: 10c + -2c = 8c
4 + 8c = 3(2c + 3 + 7)

Reorder the terms:
4 + 8c = 3(3 + 7 + 2c)

Combine like terms: 3 + 7 = 10
4 + 8c = 3(10 + 2c)
4 + 8c = (10 * 3 + 2c * 3)
4 + 8c = (30 + 6c)

Solving
4 + 8c = 30 + 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.
4 + 8c + -6c = 30 + 6c + -6c

Combine like terms: 8c + -6c = 2c
4 + 2c = 30 + 6c + -6c

Combine like terms: 6c + -6c = 0
4 + 2c = 30 + 0
4 + 2c = 30

Add '-4' to each side of the equation.
4 + -4 + 2c = 30 + -4

Combine like terms: 4 + -4 = 0
0 + 2c = 30 + -4
2c = 30 + -4

Combine like terms: 30 + -4 = 26
2c = 26

Divide each side by '2'.
c = 13

Simplifying
c = 13