6(u-6)=-7u+42

Solution for 6(u-6)=-7u+42 equation:

Simplifying
6(u + -6) = -7u + 42

Reorder the terms:
6(-6 + u) = -7u + 42
(-6 * 6 + u * 6) = -7u + 42
(-36 + 6u) = -7u + 42

Reorder the terms:
-36 + 6u = 42 + -7u

Solving
-36 + 6u = 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.
-36 + 6u + 7u = 42 + -7u + 7u

Combine like terms: 6u + 7u = 13u
-36 + 13u = 42 + -7u + 7u

Combine like terms: -7u + 7u = 0
-36 + 13u = 42 + 0
-36 + 13u = 42

Add '36' to each side of the equation.
-36 + 36 + 13u = 42 + 36

Combine like terms: -36 + 36 = 0
0 + 13u = 42 + 36
13u = 42 + 36

Combine like terms: 42 + 36 = 78
13u = 78

Divide each side by '13'.
u = 6

Simplifying
u = 6