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

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

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

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

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

Combine like terms: 4x + 2x = 6x
6 + 6x = 3(x + -1)

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

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

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

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

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

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

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

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

Simplifying
x = -3