3u-15=7(u-5)

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Solution for 3u-15=7(u-5) equation:


Simplifying
3u + -15 = 7(u + -5)

Reorder the terms:
-15 + 3u = 7(u + -5)

Reorder the terms:
-15 + 3u = 7(-5 + u)
-15 + 3u = (-5 * 7 + u * 7)
-15 + 3u = (-35 + 7u)

Solving
-15 + 3u = -35 + 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.
-15 + 3u + -7u = -35 + 7u + -7u

Combine like terms: 3u + -7u = -4u
-15 + -4u = -35 + 7u + -7u

Combine like terms: 7u + -7u = 0
-15 + -4u = -35 + 0
-15 + -4u = -35

Add '15' to each side of the equation.
-15 + 15 + -4u = -35 + 15

Combine like terms: -15 + 15 = 0
0 + -4u = -35 + 15
-4u = -35 + 15

Combine like terms: -35 + 15 = -20
-4u = -20

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

Simplifying
u = 5

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