5u-6=-7(u-6)

Solution for 5u-6=-7(u-6) equation:

Simplifying
5u + -6 = -7(u + -6)

Reorder the terms:
-6 + 5u = -7(u + -6)

Reorder the terms:
-6 + 5u = -7(-6 + u)
-6 + 5u = (-6 * -7 + u * -7)
-6 + 5u = (42 + -7u)

Solving
-6 + 5u = 42 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
-6 + 5u + 7u = 42 + -7u + 7u

Combine like terms: 5u + 7u = 12u
-6 + 12u = 42 + -7u + 7u

Combine like terms: -7u + 7u = 0
-6 + 12u = 42 + 0
-6 + 12u = 42

Add '6' to each side of the equation.
-6 + 6 + 12u = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 12u = 42 + 6
12u = 42 + 6

Combine like terms: 42 + 6 = 48
12u = 48

Divide each side by '12'.
u = 4

Simplifying
u = 4