Question

solve for x. 5(x - 10) = 30 - 15x 〇 x = 1 〇 x = 4 〇 x = 5 〇 x = 8

Explanation:

Step1: Expand the left side

Using the distributive property \( a(b - c)=ab - ac \), we expand \( 5(x - 10) \) to get \( 5x-50 \). So the equation becomes \( 5x - 50=30 - 15x \).

Step2: Add \( 15x \) to both sides

Adding \( 15x \) to both sides of the equation \( 5x - 50=30 - 15x \) gives \( 5x+15x - 50=30 - 15x+15x \), which simplifies to \( 20x - 50 = 30 \).

Step3: Add 50 to both sides

Adding 50 to both sides of \( 20x - 50 = 30 \) gives \( 20x-50 + 50=30 + 50 \), so \( 20x=80 \).

Step4: Divide both sides by 20

Dividing both sides of \( 20x = 80 \) by 20, we have \( \frac{20x}{20}=\frac{80}{20} \), which gives \( x = 4 \).

Answer:

\( x = 4 \) (corresponding to the option: B. \( x = 4 \))