How do you solve $36/54=(2x)/6$ ?

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Answer 1 · 2016-08-09T20:34:21

The answer is $x=2$ .

$36/54=(2x)/6$

Simplify $36/54$ .

$9$ goes evenly into both $36$ and $54$ .

$(36/9)/(54/9)=(2x)/6$

Simplify.

$4/6=(2x)/6$

Simplify $4/6$ to $2/3$ .

$2/3=(2x)/6$

Simplify $(2x)/6$ to $x/3$

$2/3=x/3$

Multiply both sides of the equation by $3$ .

$cancel(3)xx2/cancel(3)=x/cancel(3)xxcancel(3)$

Simplify.

$2=x$

Switch sides.

$x=2$

How do you solve 36/54=(2x)/636/54=(2x)/6?