7u-2=3(u-2)

Solution for 7u-2=3(u-2) equation:

Simplifying
7u + -2 = 3(u + -2)

Reorder the terms:
-2 + 7u = 3(u + -2)

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

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

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
-2 + 7u + -3u = -6 + 3u + -3u

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

Combine like terms: 3u + -3u = 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