3u-2=7u-6

Solution for 3u-2=7u-6 equation:

Simplifying
3u + -2 = 7u + -6

Reorder the terms:
-2 + 3u = 7u + -6

Reorder the terms:
-2 + 3u = -6 + 7u

Solving
-2 + 3u = -6 + 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.
-2 + 3u + -7u = -6 + 7u + -7u

Combine like terms: 3u + -7u = -4u
-2 + -4u = -6 + 7u + -7u

Combine like terms: 7u + -7u = 0
-2 + -4u = -6 + 0
-2 + -4u = -6

Add '2' to each side of the equation.
-2 + 2 + -4u = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -4u = -6 + 2
-4u = -6 + 2

Combine like terms: -6 + 2 = -4
-4u = -4

Divide each side by '-4'.
u = 1

Simplifying
u = 1