Answer:
[tex]x=0[/tex]
Step-by-step explanation:
1) Add the numbers.
[tex]5+x+6=2x+11\\11+x=2x+11[/tex]
2) Rearrange terms.
[tex]11+x=2x+11\\\\x+11=2x+11[/tex]
3) Subtract 11 from both sides of the equation.
[tex]x+11=2x+11\\x+11-11+2x+11-11[/tex]
4) Simplify.
a. Subtract the numbers.
[tex]x+11-11=2x+11-11\\x=2x+11-11[/tex]
b. Subtract the numbers.
[tex]x=2x+11-11\\x=2x[/tex]
Result: [tex]2x[/tex]
5) Subtract [tex]2x[/tex] from both sides of the equation.
[tex]x=2x\\x-2x=2x-2x[/tex]
6) Simplify.
a. Combine like terms.
[tex]x-2x=2x-2x\\-x=2x-2x[/tex]
b. Combine like terms
[tex]-x=2x-2x\\-x=0[/tex]
Result: [tex]-x=0[/tex]
7) Divide both sides of the equation by the same term.
[tex]-x=0\\\frac{-x}{-1} =\frac{0}{-1}[/tex]
8) Simplify.
a. Cancel terms that are in both the numerator and denominator.
[tex]x=\frac{0}{-1}[/tex]
Solution:
[tex]x=0[/tex]
