3(4x-2)=-5x-3(x-1)

Solution for 3(4x-2)=-5x-3(x-1) equation:

Simplifying
3(4x + -2) = -5x + -3(x + -1)

Reorder the terms:
3(-2 + 4x) = -5x + -3(x + -1)
(-2 * 3 + 4x * 3) = -5x + -3(x + -1)
(-6 + 12x) = -5x + -3(x + -1)

Reorder the terms:
-6 + 12x = -5x + -3(-1 + x)
-6 + 12x = -5x + (-1 * -3 + x * -3)
-6 + 12x = -5x + (3 + -3x)

Reorder the terms:
-6 + 12x = 3 + -5x + -3x

Combine like terms: -5x + -3x = -8x
-6 + 12x = 3 + -8x

Solving
-6 + 12x = 3 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 12x + 8x = 3 + -8x + 8x

Combine like terms: 12x + 8x = 20x
-6 + 20x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 20x = 3 + 0
-6 + 20x = 3

Add '6' to each side of the equation.
-6 + 6 + 20x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 20x = 3 + 6
20x = 3 + 6

Combine like terms: 3 + 6 = 9
20x = 9

Divide each side by '20'.
x = 0.45

Simplifying
x = 0.45