6c+3(c+1)=10

Solution for 6c+3(c+1)=10 equation:

Simplifying
6c + 3(c + 1) = 10

Reorder the terms:
6c + 3(1 + c) = 10
6c + (1 * 3 + c * 3) = 10
6c + (3 + 3c) = 10

Reorder the terms:
3 + 6c + 3c = 10

Combine like terms: 6c + 3c = 9c
3 + 9c = 10

Solving
3 + 9c = 10

Solving for variable 'c'.

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

Add '-3' to each side of the equation.
3 + -3 + 9c = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 9c = 10 + -3
9c = 10 + -3

Combine like terms: 10 + -3 = 7
9c = 7

Divide each side by '9'.
c = 0.7777777778

Simplifying
c = 0.7777777778