How do you solve #-25( x - 4) = 55( x - 10)#?

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Answer 1 · 2016-12-09T14:13:50

#x = 8.125#

First, distribute the multipliers across the terms within parenthesis:

#-25x + 100 = 55x - 550#

Now solve for #x# while keeping the equation balanced:

#-25x + 25x + 100 + 550 = 55x + 25x - 550 + 550#

#0 + 650 = 80x - 0#

#650 = 80x#

#650/80 = (80x)/80#

#8.125 = (cancel(80)x)/cancel(80)#

#x = 8.125#

Answer 2 · 2016-12-09T14:15:18

x = 8.125

-25(x-4) = 55(x-10)

First distribute the -25 and the 55. (By multiplying in the parentheses.)

-25x+100 = 55x - 550

Next, add 550 to both sides.

-25x +650 = 55x

Then, add 25x to both sides.

650 = 80x

After that, divide 80 from both sides.

8.125 = x

Lastly, switch the x and 8.125.

x = 8.125