Question

solve the equation. 2x - 3 + 4x = 21 x = -12 x = -6 x = 4 x = 6

Explanation:

Step1: Combine like terms

Combine the \(x\)-terms on the left side: \(2x + 4x - 3 = 21\) simplifies to \(6x - 3 = 21\).

Step2: Add 3 to both sides

Add 3 to each side of the equation: \(6x - 3 + 3 = 21 + 3\), which gives \(6x = 24\).

Step3: Divide by 6

Divide both sides by 6: \(\frac{6x}{6} = \frac{24}{6}\), so \(x = 4\).

Answer:

C. \(x = 4\) (assuming the options are labeled with letters, and the third option is \(x = 4\))