Question

Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking. in one paragraph
5x +8+x= 32

Answer 1

To solve the equation \(5x + 8 + x = 32\), we start by combining like terms on the left side. The terms \(5x\) and \(x\) combine to give \(6x\), so the equation simplifies to \(6x + 8 = 32\). Next, we isolate the term with \(x\) by subtracting 8 from both sides, resulting in \(6x = 32 - 8\) or \(6x = 24\). Then, we divide both sides by 6 to solve for \(x\), which gives us \(x = \frac{24}{6}\) or \(x = 4\). To check the solution, we substitute \(x = 4\) back into the original equation: \(5(4) + 8 + 4 = 32\) simplifies to \(20 + 8 + 4 = 32\), which further simplifies to \(32 = 32\), confirming that our solution is correct. Thus, the solution is \(x = 4\).