arneguet9k

2021-11-14

For Exercise, solve the equation.

$\frac{x+3}{5x}+2=\frac{x-4}{x}$

Salvador Fry

Beginner2021-11-15Added 12 answers

Step 1

LCM of the denominators is$=5x$

So to get rid of the fractions we multiply both sides by 5x.

$\frac{x+3}{5x}+2=\frac{x-4}{x}$

$5x(\frac{x+3}{5x}+2)=5x\left(\frac{x-4}{x}\right)$

$x+3+2\left(5x\right)=5(x-4)$

Step 2

Then we simplify the expression and solve the linear equation.

$x+3+2\left(5x\right)=5(x-4)$

$x+3+10x=5x-20$

$11x+3=5x-20$

$11x-5x=-20-3$

$6x=-23$

$x=-\frac{23}{6}$

Answer:$x=-\frac{23}{6}$

LCM of the denominators is

So to get rid of the fractions we multiply both sides by 5x.

Step 2

Then we simplify the expression and solve the linear equation.

Answer:

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