Question

Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking

5x+8+x=32

(4 points)
make it into a 3 sentence paragraph

Answer 1

To solve the equation \(5x + 8 + x = 32\), first combine like terms on the left side to get \(6x + 8 = 32\). Next, subtract 8 from both sides to isolate the term with \(x\), resulting in \(6x = 24\), and then divide both sides by 6 to find \(x = 4\). To check the solution, substitute \(x\) back into the original equation: \(5(4) + 8 + 4 = 20 + 8 + 4 = 32\), confirming that the left side equals the right side, thus verifying that \(x = 4\) is correct.

Answer 2

shorter

Answer 3

To solve the equation \(5x + 8 + x = 32\), combine like terms to get \(6x + 8 = 32\), then subtract 8 from both sides to find \(6x = 24\), and divide by 6 to get \(x = 4\). Checking the solution, substituting \(x = 4\) into the original equation yields \(20 + 8 + 4 = 32\), which confirms that the solution is correct. Thus, \(x = 4\) is the solution.