How do you solve #\frac { 10} { x + 3} = \frac { 2} { 5}#?

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Answer 1 · 2016-11-22T21:11:52

#x = 22#

Step 1) Multiply each side of the equation by #5*(x + 3)# to eliminate the fractions and keep the equation balanced:

#(5*(x + 3) * 10)/(x + 3) = (2*5*(x + 3))/5#

#5 * 10 = 2 * (x+ 3)#

#50 = 2x + 6#

Step 2) Subtract 6 from each side of the equation:

#50 - 6 = 2x + 6 - 6#

#44 = 2x#

Step 3) Divided each side of the equation by #2# to solve for #x#:

#44/2 = (2x)/2#

#22 = x#