Identify Goal: Identify the goal of the problem. We need to find the value of x that satisfies the equation -5 + x = 11.Isolate Variable: Isolate the variable x on one side of the equation. To do this, we can add 5 to both sides of the equation to cancel out the -5 on the left side. -5 + x + 5 = 11 + 5Perform Addition: Perform the addition on both sides of the equation. x = 11 + 5 x = 16Check Solution: Check the solution by substituting the value of x back into the original equation. -5 + 16 = 11 11 = 11 This is true, so our solution for x is correct.

Grade 7

Add and subtract fractions

Full solution

-5+x=11

Identify Goal: Identify the goal of the problem. $\newline$ We need to find the value of $x$ that satisfies the equation $-5 + x = 11$ .
Isolate Variable: Isolate the variable $x$ on one side of the equation. $\newline$ To do this, we can add $5$ to both sides of the equation to cancel out the $-5$ on the left side. $\newline$ $-5 + x + 5 = 11 + 5$
Perform Addition: Perform the addition on both sides of the equation. $\newline$ $x = 11 + 5$ $\newline$ $x = 16$
Check Solution: Check the solution by substituting the value of $x$ back into the original equation. $\newline$ $-5 + 16 = 11$ $\newline$ $11 = 11$ $\newline$ This is true, so our solution for $x$ is correct.