Question

if 5x/4 - 6-x/8=6(x+3)/3=1/6 then x=

Answer 1

Answer:

if 5x/4 - 6-x/8=6(x+3)/3=1/6 then x=

Step-by-step explanation:

→ {\boxed{\sf{\frac{5x}{4}+\frac{(6-x)}{8}=\frac{[6(x+3)]}{3}-\frac{1}{6}}}}45x+8(6−x)=3[6(x+3)]−61

\large{→}→ {\boxed{\sf{\frac{(10x+6-x)}{8}=\frac{12(x+3)-1}{6}}}}8(10x+6−x)=612(x+3)−1

\large{→}→ {\boxed{\sf{(9x+6)×6=(12x+35)×8}}}(9x+6)×6=(12x+35)×8

\large{→}→ {\boxed{\sf{54x+36=96x+280}}}54x+36=96x+280

\large{→}→ {\boxed{\sf{42x=244}}}42x=244

\large{→}→ {\boxed{\red{\sf{x=61}}}}x=61

Answer 2

Answer:

$x=-2\frac{11}{12}$

Step-by-step explanation:

$\frac{5x}{4}$$-6-\frac{x}{8}=\frac{6(x+3)}{3}=\frac{1}{6}$

First, we multiply the whole expression by 4.

$5x-24-\frac{x}{2}=\frac{(6x+18)4}{3}=\frac{2}{3}$

$5x-24-\frac{x}{2}=\frac{24x+72}{3}=\frac{2}{3}$

Then, we multiply the whole expression by 3.

$15x-72-\frac{3x}{2}=24x+72=2$

Here, we can branch out two equations.

$15x-72-\frac{3x}{2}=2$

$24x+72=2$

We use the second equation because it is easier.

$24x=2-72\\24x=-70\\x=-\frac{70}{24} \\\\x=-\frac{35}{12}$(or)        $x=-2\frac{11}{12}$

Thank you for asking such a meaningful question.