2(c+7)-6(c-3)=

Solution for 2(c+7)-6(c-3)= equation:

Simplifying
2(c + 7) + -6(c + -3) = 0

Reorder the terms:
2(7 + c) + -6(c + -3) = 0
(7 * 2 + c * 2) + -6(c + -3) = 0
(14 + 2c) + -6(c + -3) = 0

Reorder the terms:
14 + 2c + -6(-3 + c) = 0
14 + 2c + (-3 * -6 + c * -6) = 0
14 + 2c + (18 + -6c) = 0

Reorder the terms:
14 + 18 + 2c + -6c = 0

Combine like terms: 14 + 18 = 32
32 + 2c + -6c = 0

Combine like terms: 2c + -6c = -4c
32 + -4c = 0

Solving
32 + -4c = 0

Solving for variable 'c'.

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

Add '-32' to each side of the equation.
32 + -32 + -4c = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4c = 0 + -32
-4c = 0 + -32

Combine like terms: 0 + -32 = -32
-4c = -32

Divide each side by '-4'.
c = 8

Simplifying
c = 8