6u-42=10u-78

Solution for 6u-42=10u-78 equation:

Simplifying
6u + -42 = 10u + -78

Reorder the terms:
-42 + 6u = 10u + -78

Reorder the terms:
-42 + 6u = -78 + 10u

Solving
-42 + 6u = -78 + 10u

Solving for variable 'u'.

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

Add '-10u' to each side of the equation.
-42 + 6u + -10u = -78 + 10u + -10u

Combine like terms: 6u + -10u = -4u
-42 + -4u = -78 + 10u + -10u

Combine like terms: 10u + -10u = 0
-42 + -4u = -78 + 0
-42 + -4u = -78

Add '42' to each side of the equation.
-42 + 42 + -4u = -78 + 42

Combine like terms: -42 + 42 = 0
0 + -4u = -78 + 42
-4u = -78 + 42

Combine like terms: -78 + 42 = -36
-4u = -36

Divide each side by '-4'.
u = 9

Simplifying
u = 9