Question

Solve for x. Make sure to distribute before solving.
2(2x - 5) = 30.

Answer 1

To solve the equation 2(2x - 5) = 30, you distribute the 2, isolate the x term by adding 10 to both sides and then divide by 4, resulting in the solution x = 10.

Step-by-step explanation:

To solve for x in the equation 2(2x - 5) = 30, follow these steps:

1. Distribute the 2 into the parentheses: 2 × 2x gives 4x and 2 × (-5) gives -10, resulting in the equation 4x - 10 = 30.
2. Add 10 to both sides to isolate the term with x: 4x - 10 + 10 = 30 + 10, simplifying to 4x = 40.
3. Divide both sides by 4 to solve for x: 4x / 4 = 40 / 4, which simplifies to x = 10.

Therefore, the solution to the equation is x = 10.