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

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

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

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

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

Solving
-6 + 2u = -12 + 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 = -12 + 3u + -3u

Combine like terms: 2u + -3u = -1u
-6 + -1u = -12 + 3u + -3u

Combine like terms: 3u + -3u = 0
-6 + -1u = -12 + 0
-6 + -1u = -12

Add '6' to each side of the equation.
-6 + 6 + -1u = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1u = -12 + 6
-1u = -12 + 6

Combine like terms: -12 + 6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6