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

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

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

Reorder the terms:
2(-3 + 4x) = 3(x + -1)
(-3 * 2 + 4x * 2) = 3(x + -1)
(-6 + 8x) = 3(x + -1)

Reorder the terms:
-6 + 8x = 3(-1 + x)
-6 + 8x = (-1 * 3 + x * 3)
-6 + 8x = (-3 + 3x)

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

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

Combine like terms: 3x + -3x = 0
-6 + 5x = -3 + 0
-6 + 5x = -3

Add '6' to each side of the equation.
-6 + 6 + 5x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -3 + 6
5x = -3 + 6

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

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6