6(u-1)-4(2u-3)=3(u)

Solution for 6(u-1)-4(2u-3)=3(u) equation:

Simplifying
6(u + -1) + -4(2u + -3) = 3(u)

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

Reorder the terms:
-6 + 6u + -4(-3 + 2u) = 3(u)
-6 + 6u + (-3 * -4 + 2u * -4) = 3(u)
-6 + 6u + (12 + -8u) = 3(u)

Reorder the terms:
-6 + 12 + 6u + -8u = 3(u)

Combine like terms: -6 + 12 = 6
6 + 6u + -8u = 3(u)

Combine like terms: 6u + -8u = -2u
6 + -2u = 3(u)

Solving
6 + -2u = 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
6 + -2u + -3u = 3u + -3u

Combine like terms: -2u + -3u = -5u
6 + -5u = 3u + -3u

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

Add '-6' to each side of the equation.
6 + -6 + -5u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5u = 0 + -6
-5u = 0 + -6

Combine like terms: 0 + -6 = -6
-5u = -6

Divide each side by '-5'.
u = 1.2

Simplifying
u = 1.2