Answer:
[tex]x=10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides of the equation
[tex]9x+10=11x-10\\9x+10-10=11x-10-10[/tex]
2) Simplify
a. Subtract the numbers
b. Subtract the numbers again
[tex]9x=11x-20[/tex]
3) Subtract 11x from both sides of the equation
[tex]9x=11x-20\\9x-11=11x-20-11x[/tex]
4) Simplify
a. Combine like terms
b. Combine like terms again
[tex]-2x=-20[/tex]
5) Divide both sides of the equation by the same term
[tex]-2x=20\\\frac{-2x}{-2} =\frac{-20}{-2}[/tex]
6) Simplify
a. Cancel terms that are in both the numerator and denominator
[tex]\frac{-2x}{-2} =\frac{-20}{-2} \\x=\frac{-20}{2}[/tex]
b. Divide the numbers
[tex]x=\frac{-20}{-2x} \\x=10[/tex]
