7x-2(4x-3)=8(c+9)-30

Solution for 7x-2(4x-3)=8(c+9)-30 equation:

Simplifying
7x + -2(4x + -3) = 8(c + 9) + -30

Reorder the terms:
7x + -2(-3 + 4x) = 8(c + 9) + -30
7x + (-3 * -2 + 4x * -2) = 8(c + 9) + -30
7x + (6 + -8x) = 8(c + 9) + -30

Reorder the terms:
6 + 7x + -8x = 8(c + 9) + -30

Combine like terms: 7x + -8x = -1x
6 + -1x = 8(c + 9) + -30

Reorder the terms:
6 + -1x = 8(9 + c) + -30
6 + -1x = (9 * 8 + c * 8) + -30
6 + -1x = (72 + 8c) + -30

Reorder the terms:
6 + -1x = 72 + -30 + 8c

Combine like terms: 72 + -30 = 42
6 + -1x = 42 + 8c

Solving
6 + -1x = 42 + 8c

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 42 + -6 + 8c

Combine like terms: 6 + -6 = 0
0 + -1x = 42 + -6 + 8c
-1x = 42 + -6 + 8c

Combine like terms: 42 + -6 = 36
-1x = 36 + 8c

Divide each side by '-1'.
x = -36 + -8c

Simplifying
x = -36 + -8c