Question

1. 4x + 8 + 2x = 32

Explanation:

Step1: Combine like terms

We have the equation \(4x + 8+3x = 32\). Combining the \(x\)-terms, we get \((4x + 3x)+8=32\), which simplifies to \(7x + 8=32\).

Step2: Subtract 8 from both sides

Subtract 8 from each side of the equation: \(7x+8 - 8=32 - 8\). This gives \(7x=24\).

Step3: Divide by 7

Divide both sides by 7: \(x=\frac{24}{7}\approx3.43\) (if a decimal approximation is needed, but the exact value is \(\frac{24}{7}\)).

Answer:

\(x = \frac{24}{7}\) (or approximately \(x\approx3.43\))