What is the solution to the equation 4(2x + 3x) = 30?

Prepare for the Alberta Trade Entrance Exam with flashcards and multiple-choice questions, featuring hints and explanations. Ace your exam!

To solve the equation 4(2x + 3x) = 30, you begin by simplifying the expression within the parentheses. The terms 2x and 3x can be combined, resulting in 5x. Therefore, the equation becomes:

4(5x) = 30

Next, distribute the 4 to the 5x, which leads to:

20x = 30

To isolate x, divide both sides of the equation by 20:

x = 30 / 20

This simplifies to:

x = 1.5

Thus, the solution to the equation is x = 1.5, which is correctly represented as 1.50 in the choices provided. This value signifies the point at which the original equation holds true when substituted back into the equation.

The process demonstrates how combining like terms and applying basic algebraic operations can lead to the correct solution.

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