Question

solve for x.

(5(x - 10) = 30 - 15x)

• (x = 1)
• (x = 4)
• (x = 5)
• (x = 8)

Explanation:

Distribute the constant on the left side

$$ 5(x - 10) = 30 - 15x $$

$$ 5x - 50 = 30 - 15x $$

Isolate the variable terms on one side

$$ 5x + 15x = 30 + 50 $$

$$ 20x = 80 $$

Solve for x

$$ x = \frac{80}{20} $$

$$ x = 4 $$

Answer:

• (A) \(x = 1\)
• (B) \(x = 4\) (Correct answer)
• (C) \(x = 5\)
• (D) \(x = 8\)