6+3(5u-4)=-2(5u-3)+9u

Solution for 6+3(5u-4)=-2(5u-3)+9u equation:

Simplifying
6 + 3(5u + -4) = -2(5u + -3) + 9u

Reorder the terms:
6 + 3(-4 + 5u) = -2(5u + -3) + 9u
6 + (-4 * 3 + 5u * 3) = -2(5u + -3) + 9u
6 + (-12 + 15u) = -2(5u + -3) + 9u

Combine like terms: 6 + -12 = -6
-6 + 15u = -2(5u + -3) + 9u

Reorder the terms:
-6 + 15u = -2(-3 + 5u) + 9u
-6 + 15u = (-3 * -2 + 5u * -2) + 9u
-6 + 15u = (6 + -10u) + 9u

Combine like terms: -10u + 9u = -1u
-6 + 15u = 6 + -1u

Solving
-6 + 15u = 6 + -1u

Solving for variable 'u'.

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

Add 'u' to each side of the equation.
-6 + 15u + u = 6 + -1u + u

Combine like terms: 15u + u = 16u
-6 + 16u = 6 + -1u + u

Combine like terms: -1u + u = 0
-6 + 16u = 6 + 0
-6 + 16u = 6

Add '6' to each side of the equation.
-6 + 6 + 16u = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 16u = 6 + 6
16u = 6 + 6

Combine like terms: 6 + 6 = 12
16u = 12

Divide each side by '16'.
u = 0.75

Simplifying
u = 0.75