Answer:
[tex]\boxed {\boxed {\sf x=6}}[/tex]
Step-by-step explanation:
An isosceles triangle has 2 equal base angles and 2 equal legs.
In this triangle, 16 must be the base, because the base angles are adjacent. Therefore, the legs are 35 and 5x+5. They must be equal to each other.
[tex]35=5x+5[/tex]
Solve for the value of x by isolating the variable on one side of the equation.
5 is being added to 5x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
[tex]35-5=5x+5-5 \\ 35-5=5x\\30=5x[/tex]
x is being multiplied by 5. The inverse of multiplication is division. Divide both sides by 5.
[tex]\frac{30}{5} =\frac{5x}{5} \\\frac{30}{5}=x\\6=x[/tex]
The value of x is 6.
