Question

Solve for x. 14) A) 9 C) 7 83 + x x+113 B) 2 D) -8​

Answer 1

We can solve the equation by adding the numbers, finding a common denominator, combining multiplied terms into a single fraction, combining fractions with common denominator, multiplying the numbers, combining like terms, rearranging terms, eliminating fraction denominators, cancelling multiplied terms that are in the denominator, multiplying the numbers, adding/subtracting to both sides, simplifying, dividing both sides of the equation by the same factor, and simplifying.

The final answer it gives is
`$$x=-(322)/(5)$$`

Add the numbers:

`$$83+x+(x)/(14)=14$$`

Find common denominator:

`$$(14)/(14) \cdot 83+(14)/(14)x+(x)/(14)=14$$`

Combine multiplied terms into a single fraction:

`$$(14 \cdot 83)/(14)+(14x)/(14)+(x)/(14)=14$$`

Combine fractions with common denominator

`$$(14 \cdot 83+14x+x)/(14)=14$$`

Multiply the numbers

`$$(1162+14x+x)/(14)=14$$`

Combine like terms:

`$$(1162+15x)/(14)=14$$`

Rearrange terms:

`$$(15x+1162)/(14)=14$$`

Eliminate fraction denominators

`$$14 \cdot (15x+1162)/(14)=14 \cdot 14$$`

Cancel multiplied terms that are in the denominator

`$$15x+1162=14 \cdot 14$$`

Multiply the numbers:

`$$15x+1162=196$$`

Add/subtract to both sides

`$$15x+1162-1162=196-1162$$`

Simplify:

`$$15x=-966$$`

Divide both sides of the equation by the same factor:

`$$(15x)/(15)=(-966)/(15)$$`

Simplify:

`$$x=-(322)/(5)$$`

`$$x=-(322)/(5)$$`