7u-43=-2(u-1)

Solution for 7u-43=-2(u-1) equation:

Simplifying
7u + -43 = -2(u + -1)

Reorder the terms:
-43 + 7u = -2(u + -1)

Reorder the terms:
-43 + 7u = -2(-1 + u)
-43 + 7u = (-1 * -2 + u * -2)
-43 + 7u = (2 + -2u)

Solving
-43 + 7u = 2 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
-43 + 7u + 2u = 2 + -2u + 2u

Combine like terms: 7u + 2u = 9u
-43 + 9u = 2 + -2u + 2u

Combine like terms: -2u + 2u = 0
-43 + 9u = 2 + 0
-43 + 9u = 2

Add '43' to each side of the equation.
-43 + 43 + 9u = 2 + 43

Combine like terms: -43 + 43 = 0
0 + 9u = 2 + 43
9u = 2 + 43

Combine like terms: 2 + 43 = 45
9u = 45

Divide each side by '9'.
u = 5

Simplifying
u = 5