Solve for $x$: $5(x-10)=30-15x$

• A. $x=5$
• B. $x=4/5$
• C. $x=4$
• D. $x=3$

Answer: (B)

Verified step by step guidance

1. Start by expanding the left side of the equation \$5(x - 10) = 30 - 15x\( using the distributive property: multiply 5 by both \)x\( and \)-10\( to get \)5x - 50$.
2. Rewrite the equation with the expanded left side: \$5x - 50 = 30 - 15x$.
3. Next, collect all the \(x\) terms on one side of the equation. You can do this by adding \$15x\( to both sides: \)5x + 15x - 50 = 30$.
4. Simplify the left side by combining like terms: \$20x - 50 = 30$.
5. Then, isolate the \(x\) term by adding 50 to both sides: \$20x = 30 + 50\(. Finally, solve for \)x\( by dividing both sides by 20: \)x = \frac{30 + 50}{20}$.