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

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

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

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

Combine like terms: 12x + 3x = 15x
-6 + 15x = 2(4y + -1)

Reorder the terms:
-6 + 15x = 2(-1 + 4y)
-6 + 15x = (-1 * 2 + 4y * 2)
-6 + 15x = (-2 + 8y)

Solving
-6 + 15x = -2 + 8y

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 15x = -2 + 6 + 8y

Combine like terms: -6 + 6 = 0
0 + 15x = -2 + 6 + 8y
15x = -2 + 6 + 8y

Combine like terms: -2 + 6 = 4
15x = 4 + 8y

Divide each side by '15'.
x = 0.2666666667 + 0.5333333333y

Simplifying
x = 0.2666666667 + 0.5333333333y