Solve for x. (-5)/(7)+(7)/(x)=(9)/(7x) Answer: x=

Write Equation: Write down the equation. (-5)/(7) + (7)/(x) = (9)/(7x)Find Common Denominator: Find a common denominator for the terms on the left side of the equation, which is 7x. (-5x)/(7x) + (49)/(7x) = (9)/(7x)Combine Fractions: Combine the fractions on the left side of the equation. ((-5x) + 49)/(7x) = (9)/(7x)Set Numerators Equal: Since the denominators are the same, we can set the numerators equal to each other. -5x + 49 = 9Subtract and Isolate: Subtract 49 from both sides of the equation to isolate the term with x. -5x + 49 - 49 = 9 - 49 -5x = -40Divide to Solve: Divide both sides of the equation by -5 to solve for x. x = (-40)/(-5) x = 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x.

(-5)/(7)+(7)/(x)=(9)/(7x)
Answer:
x=

Solve for $x$ . $\newline$ $\frac{-5}{7}+\frac{7}{x}=\frac{9}{7 x}$ $\newline$ Answer: $x=$

View step-by-step help

Home

Math Problems

Algebra 2

Partial sums of arithmetic series

Full solution

Q. Solve for

x

\newline

\frac{-5}{7}+\frac{7}{x}=\frac{9}{7 x}

\newline

Answer:

x=

Write Equation: Write down the equation. $\newline$ rac{-5}{7} + rac{7}{x} = rac{9}{7x}
Find Common Denominator: Find a common denominator for the terms on the left side of the equation, which is $7x$ . $\frac{-5x}{7x} + \frac{49}{7x} = \frac{9}{7x}$
Combine Fractions: Combine the fractions on the left side of the equation. $\frac{{(-5x) + 49}}{{7x}} = \frac{9}{{7x}}$
Set Numerators Equal: Since the denominators are the same, we can set the numerators equal to each other. $\newline$ $-5x + 49 = 9$
Subtract and Isolate: Subtract $49$ from both sides of the equation to isolate the term with $x$ . $\newline$ $-5x + 49 - 49 = 9 - 49$ $\newline$ $-5x = -40$
Divide to Solve: Divide both sides of the equation by $-5$ to solve for $x$ . $x = \frac{-40}{-5}$ $x = 8$