3(5u-2)+4(2u+7)=63

Solution for 3(5u-2)+4(2u+7)=63 equation:

Simplifying
3(5u + -2) + 4(2u + 7) = 63

Reorder the terms:
3(-2 + 5u) + 4(2u + 7) = 63
(-2 * 3 + 5u * 3) + 4(2u + 7) = 63
(-6 + 15u) + 4(2u + 7) = 63

Reorder the terms:
-6 + 15u + 4(7 + 2u) = 63
-6 + 15u + (7 * 4 + 2u * 4) = 63
-6 + 15u + (28 + 8u) = 63

Reorder the terms:
-6 + 28 + 15u + 8u = 63

Combine like terms: -6 + 28 = 22
22 + 15u + 8u = 63

Combine like terms: 15u + 8u = 23u
22 + 23u = 63

Solving
22 + 23u = 63

Solving for variable 'u'.

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

Add '-22' to each side of the equation.
22 + -22 + 23u = 63 + -22

Combine like terms: 22 + -22 = 0
0 + 23u = 63 + -22
23u = 63 + -22

Combine like terms: 63 + -22 = 41
23u = 41

Divide each side by '23'.
u = 1.782608696

Simplifying
u = 1.782608696