4(2u+3)=3(3u+1)

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

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

Reorder the terms:
4(3 + 2u) = 3(3u + 1)
(3 * 4 + 2u * 4) = 3(3u + 1)
(12 + 8u) = 3(3u + 1)

Reorder the terms:
12 + 8u = 3(1 + 3u)
12 + 8u = (1 * 3 + 3u * 3)
12 + 8u = (3 + 9u)

Solving
12 + 8u = 3 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
12 + 8u + -9u = 3 + 9u + -9u

Combine like terms: 8u + -9u = -1u
12 + -1u = 3 + 9u + -9u

Combine like terms: 9u + -9u = 0
12 + -1u = 3 + 0
12 + -1u = 3

Add '-12' to each side of the equation.
12 + -12 + -1u = 3 + -12

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

Combine like terms: 3 + -12 = -9
-1u = -9

Divide each side by '-1'.
u = 9

Simplifying
u = 9