10(U+5)-3(U-3)=5

Solution for 10(U+5)-3(U-3)=5 equation:

Simplifying
10(U + 5) + -3(U + -3) = 5

Reorder the terms:
10(5 + U) + -3(U + -3) = 5
(5 * 10 + U * 10) + -3(U + -3) = 5
(50 + 10U) + -3(U + -3) = 5

Reorder the terms:
50 + 10U + -3(-3 + U) = 5
50 + 10U + (-3 * -3 + U * -3) = 5
50 + 10U + (9 + -3U) = 5

Reorder the terms:
50 + 9 + 10U + -3U = 5

Combine like terms: 50 + 9 = 59
59 + 10U + -3U = 5

Combine like terms: 10U + -3U = 7U
59 + 7U = 5

Solving
59 + 7U = 5

Solving for variable 'U'.

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

Add '-59' to each side of the equation.
59 + -59 + 7U = 5 + -59

Combine like terms: 59 + -59 = 0
0 + 7U = 5 + -59
7U = 5 + -59

Combine like terms: 5 + -59 = -54
7U = -54

Divide each side by '7'.
U = -7.714285714

Simplifying
U = -7.714285714