Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify $\frac{4}{x - 5} = \frac{x - 2}{x - 5}$ $4/(x-5)= (x-2)/(x-5)$ ?

1 Answer

Jun 11, 2017

$x = 6$ $x=6$

Explanation:

Since the denominators of the fraction are equal, we can multiply by $(x - 5)$ $(x-5)$ on both sides to end up with:

$4 = x - 2$ $4=x-2$

Then, we add 2 to both sides to isolate x and end up with:

$x = 6$ $x=6$ .

Related questions

What is Addition and Subtraction of Rational Expressions?
How do you add or subtract rational expressions with the same denominator?
How do you add or subtract rational expressions with unlike denominator?
How do you find the least common denominator for rational expressions?
How do you simplify $\frac{2}{x + 2} - \frac{3}{2 x - 5}$ $\frac{2}{x+2}-\frac{3}{2x-5}$ ?
How do you add $\frac{5}{2 x + 3} + \frac{3}{2 x + 3}$ $\frac{5}{2x+3}+\frac{3}{2x+3}$ ?
What is the least common denominator for $\frac{2 x}{x - 4} + \frac{x}{4 - x}$ $\frac{2x}{x-4}+\frac{x}{4-x}$ ?
How do you add $\frac{3 x - 2}{x - 2} + \frac{1}{x^{2} - 4 x + 4}$ $\frac{3x-2}{x-2}+\frac{1}{x^2-4x+4}$ ?
How do you subtract $\frac{2 x}{x^{2} + 10 x + 25} - \frac{3 x}{2 x^{2} + 7 x - 15}$ $\frac{2x}{x^2+10x+25}-\frac{3x}{2x^2+7x-15}$ ?
How do you add $\frac{3}{2 x - 4} + \frac{x}{x + 2}$ $3/(2x-4)+x/(x+2)$ ?

See all questions in Addition and Subtraction of Rational Expressions

Impact of this question

1682 views around the world

You can reuse this answer
Creative Commons License