Question

Hayden's checking account balance was $145.95. After two checks were cashed, each for the same amount, his balance was - $4.05. This problem can be represented by the equation below: 145.95 - 2x -4.05 Solve the equation for x. Show your work. Then explain what x represents in the problem

Answer 1

$\begin{gathered} \text{The equation is} \\ 145.95-2x=-4.05 \\ \text{ Now we add 2x to both sides of the equation} \\ 145.95-2x+2x=-4.05+2x \\ 145.95=-4.05+2x \\ \text{ Now we add 4.05 to both sides of equation} \\ 145.95+4.05=-4.05+4.05+2x \\ 150=2x \\ \text{ Now we will divide each side by 2} \\ \frac{150}{2}=\frac{2x}{2} \\ 75=x \\ \\ x\text{ represents the amoun of each check!} \end{gathered}$