4x+2-4(-2x-1)=3(x-3)

Solution for 4x+2-4(-2x-1)=3(x-3) equation:

Simplifying
4x + 2 + -4(-2x + -1) = 3(x + -3)

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

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

Combine like terms: 2 + 4 = 6
6 + 4x + 8x = 3(x + -3)

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

Reorder the terms:
6 + 12x = 3(-3 + x)
6 + 12x = (-3 * 3 + x * 3)
6 + 12x = (-9 + 3x)

Solving
6 + 12x = -9 + 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 + 12x + -3x = -9 + 3x + -3x

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

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

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

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

Combine like terms: -9 + -6 = -15
9x = -15

Divide each side by '9'.
x = -1.666666667

Simplifying
x = -1.666666667