Question

What is
the value of x. If 5+x+6=2x+11

Answer 1

`x=0`

Explanation:

1) Add the numbers.

`5+x+6=2x+11\\11+x=2x+11`

2) Rearrange terms.

`11+x=2x+11\\\\x+11=2x+11`

3) Subtract 11 from both sides of the equation.

`x+11=2x+11\\x+11-11+2x+11-11`

4) Simplify.

a. Subtract the numbers.

`x+11-11=2x+11-11\\x=2x+11-11`

b. Subtract the numbers.

`x=2x+11-11\\x=2x`

Result:
`2x`

5) Subtract
`2x` from both sides of the equation.

`x=2x\\x-2x=2x-2x`

6) Simplify.

a. Combine like terms.

`x-2x=2x-2x\\-x=2x-2x`

b. Combine like terms

`-x=2x-2x\\-x=0`

Result:
`-x=0`

7) Divide both sides of the equation by the same term.

`-x=0\\(-x)/(-1) =(0)/(-1)`

8) Simplify.

a. Cancel terms that are in both the numerator and denominator.

`x=(0)/(-1)`

Solution:

`x=0`