Question

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

Explanation:

Step1: Combine like terms

Combine the \(x\)-terms: \(2x + 4x = 6x\), so the equation becomes \(6x - 3 = 21\).

Step2: Add 3 to both sides

Add 3 to each side: \(6x - 3 + 3 = 21 + 3\), which simplifies to \(6x = 24\).

Step3: Divide by 6

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

Answer:

\(x = 4\) (corresponding to the option "x = 4")