-8x+2(x+3)=-3+3(x-9)

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

Simplifying
-8x + 2(x + 3) = -3 + 3(x + -9)

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

Reorder the terms:
6 + -8x + 2x = -3 + 3(x + -9)

Combine like terms: -8x + 2x = -6x
6 + -6x = -3 + 3(x + -9)

Reorder the terms:
6 + -6x = -3 + 3(-9 + x)
6 + -6x = -3 + (-9 * 3 + x * 3)
6 + -6x = -3 + (-27 + 3x)

Combine like terms: -3 + -27 = -30
6 + -6x = -30 + 3x

Solving
6 + -6x = -30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -6x + -3x = -30 + 3x + -3x

Combine like terms: -6x + -3x = -9x
6 + -9x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -9x = -30 + 0
6 + -9x = -30

Add '-6' to each side of the equation.
6 + -6 + -9x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -30 + -6
-9x = -30 + -6

Combine like terms: -30 + -6 = -36
-9x = -36

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

Simplifying
x = 4