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

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

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

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

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

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

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

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

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

Solving
6 + -1x = 42 + 8x

Solving for variable 'x'.

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

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

Combine like terms: -1x + -8x = -9x
6 + -9x = 42 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -9x = 42 + 0
6 + -9x = 42

Add '-6' to each side of the equation.
6 + -6 + -9x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 42 + -6
-9x = 42 + -6

Combine like terms: 42 + -6 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4