2(2x+3)+8x=6(x-1)+3x

Solution for 2(2x+3)+8x=6(x-1)+3x equation:

Simplifying
2(2x + 3) + 8x = 6(x + -1) + 3x

Reorder the terms:
2(3 + 2x) + 8x = 6(x + -1) + 3x
(3 * 2 + 2x * 2) + 8x = 6(x + -1) + 3x
(6 + 4x) + 8x = 6(x + -1) + 3x

Combine like terms: 4x + 8x = 12x
6 + 12x = 6(x + -1) + 3x

Reorder the terms:
6 + 12x = 6(-1 + x) + 3x
6 + 12x = (-1 * 6 + x * 6) + 3x
6 + 12x = (-6 + 6x) + 3x

Combine like terms: 6x + 3x = 9x
6 + 12x = -6 + 9x

Solving
6 + 12x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 12x + -9x = -6 + 9x + -9x

Combine like terms: 12x + -9x = 3x
6 + 3x = -6 + 9x + -9x

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

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

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

Combine like terms: -6 + -6 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4