3u+13=7(u-1)

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Solution for 3u+13=7(u-1) equation:


Simplifying
3u + 13 = 7(u + -1)

Reorder the terms:
13 + 3u = 7(u + -1)

Reorder the terms:
13 + 3u = 7(-1 + u)
13 + 3u = (-1 * 7 + u * 7)
13 + 3u = (-7 + 7u)

Solving
13 + 3u = -7 + 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.
13 + 3u + -7u = -7 + 7u + -7u

Combine like terms: 3u + -7u = -4u
13 + -4u = -7 + 7u + -7u

Combine like terms: 7u + -7u = 0
13 + -4u = -7 + 0
13 + -4u = -7

Add '-13' to each side of the equation.
13 + -13 + -4u = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -4u = -7 + -13
-4u = -7 + -13

Combine like terms: -7 + -13 = -20
-4u = -20

Divide each side by '-4'.
u = 5

Simplifying
u = 5

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