-5u+8(u-7)=-35

Solution for -5u+8(u-7)=-35 equation:

Simplifying
-5u + 8(u + -7) = -35

Reorder the terms:
-5u + 8(-7 + u) = -35
-5u + (-7 * 8 + u * 8) = -35
-5u + (-56 + 8u) = -35

Reorder the terms:
-56 + -5u + 8u = -35

Combine like terms: -5u + 8u = 3u
-56 + 3u = -35

Solving
-56 + 3u = -35

Solving for variable 'u'.

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

Add '56' to each side of the equation.
-56 + 56 + 3u = -35 + 56

Combine like terms: -56 + 56 = 0
0 + 3u = -35 + 56
3u = -35 + 56

Combine like terms: -35 + 56 = 21
3u = 21

Divide each side by '3'.
u = 7

Simplifying
u = 7