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

Question

asked Jun 12, 2022 214k views

1 Answer

Pzr · Answer 1 · 2022-06-17T17:23:19+0000

Answer:

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:

5) Subtract
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