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

Solution:

1.5(x + 4) - 3 = 4.5(x - 2)

Using the distributive property, multiply the terms in the equation.

1.5x + 1.5 × 4 - 3 = 4.5x - 4.5 × 2

1.5x + 6 - 3= 4.5x - 9

Isolate the variable x using transposing method and solve for x.

4.5x - 1.5x = 6 - 3 + 9

3x = 12

Therefore, x = 12/3 = 4

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

Summary:

The value of x satisfying the equation 1.5(x + 4) - 3 = 4.5(x - 2) is 4.