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

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Answer 1 · 2016-10-01T21:08:14

#x=15/2#

Solve: #2/3x=5#

Divide both sides by #2/3#.

#x=5/(2/3)#

When dividing by a fraction, you invert the fraction and multiply.

#x=5xx3/2#

Simplify.

#x=15/2#

A method that eliminates the need to divide by a fraction:

#2/3x=5#

Rewrite #2/3x# as #(2x)/3#.

#(2x)/3=5#

Multiply both sides by #3#.

#2x=5xx3#

Simplify.

#2x=15#

Divide both sides by #2#.

#x=15/2#