-3(x-2)+7c=3+(x-8)

Solution for -3(x-2)+7c=3+(x-8) equation:

Simplifying
-3(x + -2) + 7c = 3 + (x + -8)

Reorder the terms:
-3(-2 + x) + 7c = 3 + (x + -8)
(-2 * -3 + x * -3) + 7c = 3 + (x + -8)
(6 + -3x) + 7c = 3 + (x + -8)

Reorder the terms:
6 + 7c + -3x = 3 + (x + -8)

Reorder the terms:
6 + 7c + -3x = 3 + (-8 + x)

Remove parenthesis around (-8 + x)
6 + 7c + -3x = 3 + -8 + x

Combine like terms: 3 + -8 = -5
6 + 7c + -3x = -5 + x

Solving
6 + 7c + -3x = -5 + x

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + 7c + -6 + -3x = -5 + -6 + x

Reorder the terms:
6 + -6 + 7c + -3x = -5 + -6 + x

Combine like terms: 6 + -6 = 0
0 + 7c + -3x = -5 + -6 + x
7c + -3x = -5 + -6 + x

Combine like terms: -5 + -6 = -11
7c + -3x = -11 + x

Add '3x' to each side of the equation.
7c + -3x + 3x = -11 + x + 3x

Combine like terms: -3x + 3x = 0
7c + 0 = -11 + x + 3x
7c = -11 + x + 3x

Combine like terms: x + 3x = 4x
7c = -11 + 4x

Divide each side by '7'.
c = -1.571428571 + 0.5714285714x

Simplifying
c = -1.571428571 + 0.5714285714x