How do you simplify $5(u-5)-5=-6(-5u+6)-9u$ ?

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Answer 1 · 2016-12-17T15:16:33

$u = 3/8$

First, on each side of the equation, expand the terms in parenthesis and then group and combine like terms:

$5u - 25 - 5 = 30u - 36 - 9u$

$5u + (-25 - 5) = 30u - 9u - 36$

$5u - 30 = (30 - 9)u - 36$

$5u - 30 = 21u - 36$

Now we can isolate the $u$ term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$5u - 5u - 30 + 36 = 21u - 5u - 36 + 36$

$0 - 30 + 36 = (21u - 5u) - 0$

$6 = 16u$

Next, we can solve for $u$ while keeping the equation balanced:

$6/16 = (16u/16)$

$3/8 = (cancel(16)u)/cancel(16)$

$3/8 = u$

How do you simplify 5(u-5)-5=-6(-5u+6)-9u5(u-5)-5=-6(-5u+6)-9u?