Question
Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.
5х + 8 + x = 32
Make it 3-5 sentences
5х + 8 + x = 32
Make it 3-5 sentences
Answers
GPT-4o mini
To solve the equation \( 5x + 8 + x = 32 \), first, combine the like terms on the left side: \( 5x + x = 6x \). This simplifies the equation to \( 6x + 8 = 32 \). Next, subtract 8 from both sides to isolate the term with \( x \): \( 6x = 32 - 8 \), which simplifies to \( 6x = 24 \). Finally, divide both sides by 6 to solve for \( x \): \( x = 4 \).
To check the solution, substitute \( x = 4 \) back into the original equation: \( 5(4) + 8 + 4 \) should equal 32. Calculating gives \( 20 + 8 + 4 = 32 \), which confirms that the left side equals the right side. Thus, the solution \( x = 4 \) is verified.
To check the solution, substitute \( x = 4 \) back into the original equation: \( 5(4) + 8 + 4 \) should equal 32. Calculating gives \( 20 + 8 + 4 = 32 \), which confirms that the left side equals the right side. Thus, the solution \( x = 4 \) is verified.