Question

solve for x.
\\(\frac{3x}{x - 7} - \frac{7}{x - 7} = 5\\)
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
x =

Explanation:

Step1: Combine the fractions

Since the denominators are the same ($x - 7$), we can combine the left - hand side fractions: $\frac{3x-7}{x - 7}=5$

Step2: Eliminate the denominator

Multiply both sides of the equation by $x - 7$ (note that $x
eq7$ because the denominator cannot be zero). We get $3x-7 = 5(x - 7)$

Step3: Expand the right - hand side

Expand $5(x - 7)$ using the distributive property: $3x-7=5x - 35$

Step4: Solve for x

Subtract $3x$ from both sides: $- 7=2x - 35$
Add 35 to both sides: $28 = 2x$
Divide both sides by 2: $x = 14$

We need to check if $x = 14$ makes the original denominator zero. When $x = 14$, $x-7=14 - 7=7
eq0$, so $x = 14$ is a valid solution.

Answer:

$x = 14$