-2(2u-7)+3u=3+3(5u-1)

Solution for -2(2u-7)+3u=3+3(5u-1) equation:

Simplifying
-2(2u + -7) + 3u = 3 + 3(5u + -1)

Reorder the terms:
-2(-7 + 2u) + 3u = 3 + 3(5u + -1)
(-7 * -2 + 2u * -2) + 3u = 3 + 3(5u + -1)
(14 + -4u) + 3u = 3 + 3(5u + -1)

Combine like terms: -4u + 3u = -1u
14 + -1u = 3 + 3(5u + -1)

Reorder the terms:
14 + -1u = 3 + 3(-1 + 5u)
14 + -1u = 3 + (-1 * 3 + 5u * 3)
14 + -1u = 3 + (-3 + 15u)

Combine like terms: 3 + -3 = 0
14 + -1u = 0 + 15u
14 + -1u = 15u

Solving
14 + -1u = 15u

Solving for variable 'u'.

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

Add '-15u' to each side of the equation.
14 + -1u + -15u = 15u + -15u

Combine like terms: -1u + -15u = -16u
14 + -16u = 15u + -15u

Combine like terms: 15u + -15u = 0
14 + -16u = 0

Add '-14' to each side of the equation.
14 + -14 + -16u = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -16u = 0 + -14
-16u = 0 + -14

Combine like terms: 0 + -14 = -14
-16u = -14

Divide each side by '-16'.
u = 0.875

Simplifying
u = 0.875