3(c+2)=-9(x-7)

Solution for 3(c+2)=-9(x-7) equation:

Simplifying
3(c + 2) = -9(x + -7)

Reorder the terms:
3(2 + c) = -9(x + -7)
(2 * 3 + c * 3) = -9(x + -7)
(6 + 3c) = -9(x + -7)

Reorder the terms:
6 + 3c = -9(-7 + x)
6 + 3c = (-7 * -9 + x * -9)
6 + 3c = (63 + -9x)

Solving
6 + 3c = 63 + -9x

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 + -6 + 3c = 63 + -6 + -9x

Combine like terms: 6 + -6 = 0
0 + 3c = 63 + -6 + -9x
3c = 63 + -6 + -9x

Combine like terms: 63 + -6 = 57
3c = 57 + -9x

Divide each side by '3'.
c = 19 + -3x

Simplifying
c = 19 + -3x