Question

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

3
4Solve for x.

6(x – 1) = 9(x + 2)

x = –8
x = –3
x = 3
x = 8
5
9

Answer 1

x = 8.

Explanation:

Let’s solve the equations one by one:

1.5(x + 4) – 3 = 4.5(x – 2)

Simplifying the equation above, we get:

1.5x + 6 - 3 = 4.5x - 9

Rearranging the terms, we get:

3x = 15

Therefore, x = 5.

6(x – 1) = 9(x + 2)

Expanding the brackets, we get:

6x - 6 = 9x + 18

Rearranging the terms, we get:

-3x = -24

Therefore, x = 8.

Therefore, the value of x in the given equations is 5 and 8, respectively.