Question

5x/8 - 8 = 2x/3

How do I work this out ?

Answer 1

For this case we must solve the following expression:

`\frac {5x} {8} -8 = \frac {2x} {3}`

Subtracting
`\frac {2x} {3}` from both sides of the equation:

`\frac {5x} {8} - \frac {2x} {3} -8 = 0`

Adding 8 to both sides of the equation:

`\frac {5x} {8} - \frac {2x} {3} = 8\\\frac {3 * 5x-8 * 2x} {8 * 3} = 8\\\frac {15x-16x} {24} = 8\\15x-16x = 24 * 8\\-x = 192\\x = -192`

Answer:

`x = -192`

Answer 2

first you would subtract 5x/8 from both sides so that you isolate x. to do that, find the common denominator of both fractions (15x/24 and 16x/24) and then subtract into get 1x/24. from there, you would multiply both sides by the reciprocal, or 24, to isolate x. that would be -8(24) = x, which is -192. therefore, x = -192.

i don’t know if this is right or not, but i hope it helped somehow!