3(2x-1)+2(x+3)=0

Solution for 3(2x-1)+2(x+3)=0 equation:

Simplifying
3(2x + -1) + 2(x + 3) = 0

Reorder the terms:
3(-1 + 2x) + 2(x + 3) = 0
(-1 * 3 + 2x * 3) + 2(x + 3) = 0
(-3 + 6x) + 2(x + 3) = 0

Reorder the terms:
-3 + 6x + 2(3 + x) = 0
-3 + 6x + (3 * 2 + x * 2) = 0
-3 + 6x + (6 + 2x) = 0

Reorder the terms:
-3 + 6 + 6x + 2x = 0

Combine like terms: -3 + 6 = 3
3 + 6x + 2x = 0

Combine like terms: 6x + 2x = 8x
3 + 8x = 0

Solving
3 + 8x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 0 + -3
8x = 0 + -3

Combine like terms: 0 + -3 = -3
8x = -3

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375