7u-1=4(u-7)

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Solution for 7u-1=4(u-7) equation:


Simplifying
7u + -1 = 4(u + -7)

Reorder the terms:
-1 + 7u = 4(u + -7)

Reorder the terms:
-1 + 7u = 4(-7 + u)
-1 + 7u = (-7 * 4 + u * 4)
-1 + 7u = (-28 + 4u)

Solving
-1 + 7u = -28 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
-1 + 7u + -4u = -28 + 4u + -4u

Combine like terms: 7u + -4u = 3u
-1 + 3u = -28 + 4u + -4u

Combine like terms: 4u + -4u = 0
-1 + 3u = -28 + 0
-1 + 3u = -28

Add '1' to each side of the equation.
-1 + 1 + 3u = -28 + 1

Combine like terms: -1 + 1 = 0
0 + 3u = -28 + 1
3u = -28 + 1

Combine like terms: -28 + 1 = -27
3u = -27

Divide each side by '3'.
u = -9

Simplifying
u = -9

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