Question

find the missing number so that the equation has infinitely many solutions. \boxed{}x - 6 = 2(5x - 3) - 8x

Explanation:

Step1: Simplify right-hand side

First, expand and combine like terms on the right side of the equation.
$$2(5x - 3) - 8x = 10x - 6 - 8x = 2x - 6$$

Step2: Match coefficients for infinite solutions

For the equation $\square x - 6 = 2x - 6$ to have infinitely many solutions, the coefficients of $x$ on both sides must be equal.
Let the missing number be $a$. Then $a = 2$.

Answer:

2