Question

solve the following linear equation for x the check your answer show all your stets for solving and checking in 2 sentences

5x + 8 + x = 32

Answer 1

To solve the equation \(5x + 8 + x = 32\), first combine like terms: \(6x + 8 = 32\). Then, subtract 8 from both sides to get \(6x = 24\), and divide by 6 to find \(x = 4\).

To check the answer, substitute \(x = 4\) back into the original equation: \(5(4) + 8 + 4 = 20 + 8 + 4 = 32\), which confirms that the solution is correct.

Answer 2

in 2 sentences

Answer 3

To solve the equation \(5x + 8 + x = 32\), combine like terms to get \(6x + 8 = 32\), then subtract 8 and divide by 6, resulting in \(x = 4\). Checking this by substituting \(x\) back into the original equation gives \(32 = 32\), verifying the solution is correct.

Answer 4

what is substituting

Answer 5

Substituting refers to the process of replacing a variable in an equation with a specific value to test or simplify the equation. For example, in the equation \(5x + 8 + x = 32\), if you substitute \(x = 4\), you replace \(x\) with 4 to verify the solution: \(5(4) + 8 + 4 = 32\).