Question

1. 4x + 6 + 3 = 17

check:

Explanation:

Step1: Combine like terms

First, we combine the constant terms on the left side of the equation. The equation is \(4x + 6 + 3 = 17\). Combining 6 and 3, we get \(4x + 9 = 17\).

Step2: Subtract 9 from both sides

To isolate the term with \(x\), we subtract 9 from both sides of the equation. So, \(4x + 9 - 9 = 17 - 9\), which simplifies to \(4x = 8\).

Step3: Divide by 4

Now, we divide both sides of the equation by 4 to solve for \(x\). \(\frac{4x}{4}=\frac{8}{4}\), which gives \(x = 2\).

Step4: Check the solution

Substitute \(x = 2\) back into the original equation: Left side \(= 4(2)+6 + 3=8 + 6+3 = 17\), which is equal to the right side. So the solution is correct.

Answer:

\(x = 2\)