Question

Please explain thank u

Answer 1

`x = 6`

Explanation:

In the equation:

`(2)/(3) x - (1)/(6) = (1)/(2) x + (5)/(6)`

Multiply both sides of the equation by the common denominator which is 6

`(2 * 6)/(3) x - (1 * 6)/(6 ) = (1 * 6)/(2) x + (5 * 6)/(6)`

`⟹ (12)/(3) x - (6)/(6) = (6)/(2) x + (30)/(6)`

Reduce the fraction

`4x - 1 = 3x + 5`

Now, collect like terms to find the value of x

`4x - 3x = 5 + 1`

Therefore:

`x = 6`

I hope this helps

Answer 2

x = 6

Explanation:

multiply by 6 the whole equation to eliminate fractions and convert the coefficients and independent numbers to integers:

`4x-1=3x+5`

`4x-3x=5+1`

`x=6`

Hope this helps