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

Solution for 2(c+6)+3(c-1)=4 equation:

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

Reorder the terms:
2(6 + c) + 3(c + -1) = 4
(6 * 2 + c * 2) + 3(c + -1) = 4
(12 + 2c) + 3(c + -1) = 4

Reorder the terms:
12 + 2c + 3(-1 + c) = 4
12 + 2c + (-1 * 3 + c * 3) = 4
12 + 2c + (-3 + 3c) = 4

Reorder the terms:
12 + -3 + 2c + 3c = 4

Combine like terms: 12 + -3 = 9
9 + 2c + 3c = 4

Combine like terms: 2c + 3c = 5c
9 + 5c = 4

Solving
9 + 5c = 4

Solving for variable 'c'.

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

Add '-9' to each side of the equation.
9 + -9 + 5c = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 5c = 4 + -9
5c = 4 + -9

Combine like terms: 4 + -9 = -5
5c = -5

Divide each side by '5'.
c = -1

Simplifying
c = -1