9 divided by the sum of x and 4 is equal to 6 divided by x minus 4 | MathCelebrity Forum

9 divided by the sum of x and 4 is equal to 6 divided by x minus 4

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9 divided by the sum of x and 4 is equal to 6 divided by x minus 4.

Build our two algebraic expressions first:
9 divided by the sum of x and 4
9/(x + 4)

6 divided by x minus 4
6/(x - 4)

The phrase is equal to means and equation, so we set the algebraic expressions equal to each other:
9/(x + 4) = 6/(x - 4) <-- This is our algebraic expression

If the problem asks you to solve for x, we cross multiply:
9(x - 4) = 6(x + 4)

To solve for x, we type this equation into our search engine and we get:
x = 20
 
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