7u-8=-3(u-4)

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Solution for 7u-8=-3(u-4) equation:


Simplifying
7u + -8 = -3(u + -4)

Reorder the terms:
-8 + 7u = -3(u + -4)

Reorder the terms:
-8 + 7u = -3(-4 + u)
-8 + 7u = (-4 * -3 + u * -3)
-8 + 7u = (12 + -3u)

Solving
-8 + 7u = 12 + -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.
-8 + 7u + 3u = 12 + -3u + 3u

Combine like terms: 7u + 3u = 10u
-8 + 10u = 12 + -3u + 3u

Combine like terms: -3u + 3u = 0
-8 + 10u = 12 + 0
-8 + 10u = 12

Add '8' to each side of the equation.
-8 + 8 + 10u = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 10u = 12 + 8
10u = 12 + 8

Combine like terms: 12 + 8 = 20
10u = 20

Divide each side by '10'.
u = 2

Simplifying
u = 2

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