Question

the sum of two - thirds and five times a number is equal to five - sixths subtracted from six times the number. find the number.
the number is
(simplify your answer.)

Explanation:

Step1: Translate to an equation

Let the number be $x$. The equation is $3 + 5x=6x - 6$.

Step2: Isolate the variable terms

Subtract $5x$ from both sides: $3+5x - 5x=6x-5x - 6$, which simplifies to $3=x - 6$.

Step3: Solve for $x$

Add 6 to both sides: $3 + 6=x-6 + 6$, so $x = 9$.

Answer:

9