Solve for $x$: $8x-2-5x=8$

• A. $x=2$
• B. $x=\frac{8}{3}$
• C. $x=-\frac{10}{3}$
• D. $x=\frac{10}{3}$

Answer: (D)

Verified step by step guidance

1. Start with the given equation: \$8x - 2 - 5x = 8$.
2. Combine like terms on the left side by subtracting \$5x\( from \)8x\(, which gives \)3x - 2 = 8$.
3. Isolate the term with \(x\) by adding 2 to both sides: \$3x - 2 + 2 = 8 + 2\(, simplifying to \)3x = 10$.
4. Solve for \(x\) by dividing both sides of the equation by 3: \(x = \frac{10}{3}\).
5. Verify the solution by substituting \(x = \frac{10}{3}\) back into the original equation to ensure both sides are equal.