-3(5u-4)+7u=6+2(3u-6)

Solution for -3(5u-4)+7u=6+2(3u-6) equation:

Simplifying
-3(5u + -4) + 7u = 6 + 2(3u + -6)

Reorder the terms:
-3(-4 + 5u) + 7u = 6 + 2(3u + -6)
(-4 * -3 + 5u * -3) + 7u = 6 + 2(3u + -6)
(12 + -15u) + 7u = 6 + 2(3u + -6)

Combine like terms: -15u + 7u = -8u
12 + -8u = 6 + 2(3u + -6)

Reorder the terms:
12 + -8u = 6 + 2(-6 + 3u)
12 + -8u = 6 + (-6 * 2 + 3u * 2)
12 + -8u = 6 + (-12 + 6u)

Combine like terms: 6 + -12 = -6
12 + -8u = -6 + 6u

Solving
12 + -8u = -6 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
12 + -8u + -6u = -6 + 6u + -6u

Combine like terms: -8u + -6u = -14u
12 + -14u = -6 + 6u + -6u

Combine like terms: 6u + -6u = 0
12 + -14u = -6 + 0
12 + -14u = -6

Add '-12' to each side of the equation.
12 + -12 + -14u = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -14u = -6 + -12
-14u = -6 + -12

Combine like terms: -6 + -12 = -18
-14u = -18

Divide each side by '-14'.
u = 1.285714286

Simplifying
u = 1.285714286