Question

7+x / 12 + x = 2/3
solve and explain​

Answer 1

Answer: x = 5.84

Step-by-step explanation

12.7/12 + x/12 + 12x/12 = 2/3

84 + x + 12x / 12 = 2/3

Answer 2

Given that:-

$7+\frac{x}{12} +x=\frac{2}{3}$

To solve the given expression,

For that, we have to use the rule of BODMAS,

By finding the common denominator,

$=>\frac{12\times 7}{12}+\frac{x}{12}+\frac{12x}{12} =\frac{2}{3}$

Now by combining the fractions with a common denominator

$=>\frac{12\times 7+x+12x}{12} =\frac{2}{3}$

Multiply the numbers,

$=>\frac{84+x+12x}{12} =\frac{2}{3}$

By combining the like terms,

$=>\frac{84+13x}{12} =\frac{2}{3}$

Now, multiply all the terms by the same value to eliminate the fraction denominators:

$=>12\times[\frac{84+13x}{12}] =[12\times\frac{2}{3}]$

By canceling the multiplied term in the denominator,

$=>84+13x =12\times \frac{2}{3}$

Multiplying the numbers,

$=>84+13x =8$

Now, subtract both sides by 84, we get

$=>13x=-76$

Divide both sides by 13 we get,

$=>x=\frac{-76}{13}$

Hence, the required solution is $\frac{-76}{13}$