x - 7 divide by 3 = 4x divide by 5

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the statement:

x - 7 divide by 3 = 4x divide by 5

This can be represented as,

(x - 7)/3 =4x /5

Solution:

In order to solve for x, the first step is to cross multiply the two fractions.

(x - 7)/3 =4x /5

5(x - 7) = 4x (3)

5x - 35 = 12x

Transpose 5x on the other side of the equation, note that when transposing a number, the sign changes.

-35 = 12x - 5

-35 =7x

Divide both sides by 7 in order to get the value of x.

x = -5

Final answer:

x = -5

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