Identify Operation & Goal: Identify the operation and the goal of the equation. The equation is 9x = 18, which means 9 times some number x equals 18. The goal is to find the value of x.Isolate Variable x: Isolate the variable x by performing the inverse operation. To isolate x, we need to perform the inverse operation of multiplication, which is division. We divide both sides of the equation by 9 to find the value of x. Calculation: x = 18 / 9Perform Division: Perform the division to solve for x. Calculation: x = 18 / 9 = 2Check Solution: Check the solution by substituting the value of x back into the original equation. Calculation: 9 * 2 = 18 Check: Does 18 equal 18? Yes, the left side of the equation equals the right side when x is 2.

Grade 7

Solve equations involving like terms

Full solution

9x=18

Identify Operation & Goal: Identify the operation and the goal of the equation. $\newline$ The equation is $9x = 18$ , which means $9$ times some number $x$ equals $18$ . The goal is to find the value of $x$ .
Isolate Variable x: Isolate the variable $x$ by performing the inverse operation. $\newline$ To isolate $x$ , we need to perform the inverse operation of multiplication, which is division. We divide both sides of the equation by $9$ to find the value of $x$ . $\newline$ Calculation: $x = \frac{18}{9}$
Perform Division: Perform the division to solve for $x$ . $\newline$ Calculation: $x = \frac{18}{9} = 2$
Check Solution: Check the solution by substituting the value of $x$ back into the original equation. $\newline$ Calculation: $9 \times 2 = 18$ $\newline$ Check: Does $18$ equal $18$ ? $\newline$ Yes, the left side of the equation equals the right side when $x$ is $2$ .