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

• A. $x=2$
• B. $x=\frac{2}{3}$
• C. $x=10$
• 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 = 8 + 2$.
4. Simplify the right side to get \$3x = 10$.
5. Solve for \(x\) by dividing both sides by 3: \(x = \frac{10}{3}\).