Question

What is this? I need it please 1/3x+2=1/5x-8

Answer 1

Answer:

x=-75

Step-by-step explanation:

Answer 2

Answer:

$\boxed {x = -75}$

Step-by-step explanation:

Solve for the value of $x$:

$\frac{1}{3}x + 2 = \frac{1}{5}x - 8$

-Take $\frac{1}{5}x$ and subtract it from $\frac{1}{3}x$:

$\frac{1}{3}x + 2 - \frac{1}{5}x = \frac{1}{5}x - \frac{1}{5}x - 8$

$\frac{2}{15}x + 2 = -8$

-Subtract $2$ to both sides:

$\frac{2}{15}x + 2 - 2 = -8 - 2$

$\frac{2}{15}x = -10$

-Multiply both sides by $\frac{15}{2}$, which is the reciprocal of $\frac{2}{15}$.

$x = -10 \times (\frac{15}{2})$

$x = \frac{-10 \times 15}{2}$

$x = \frac{-150}{2}$

-Divide $-150$ by $2$:

$x = \frac{-150}{2}$

$\boxed {x = -75}$

So, the value of $x$ is $-75$.