2(x - 2) + 5x = 24

Answer 1

To solve the equation 2(x - 2) + 5x = 24, you need to simplify and combine like terms.

First, distribute the 2 to the terms inside the parentheses:
2(x - 2) + 5x = 24
2x - 4 + 5x = 24

Next, combine like terms:
2x + 5x - 4 = 24
7x - 4 = 24

To isolate x, you need to move the constant term (-4) to the right side of the equation by adding 4 to both sides:
7x - 4 + 4 = 24 + 4
7x = 28

Finally, divide both sides by 7 to solve for x:
7x/7 = 28/7
x = 4

The solution to the equation 2(x - 2) + 5x = 24 is x = 4.