Question

solve for the variable: 11 = 8x + 8x; x=1; no solution

Explanation:

Step1: Combine like terms

The equation is \(11 = 6x + 5x\). Combine the \(x\)-terms: \(6x + 5x = 11x\), so the equation becomes \(11 = 11x\).

Step2: Solve for \(x\)

Divide both sides of the equation \(11 = 11x\) by 11: \(\frac{11}{11}=\frac{11x}{11}\), which simplifies to \(1 = x\) or \(x = 1\).

Answer:

\(x = 1\)