Question

1. Solve for x. Show each step of the solution and justify (you will not receive points if you do not justify each step).

4.5(30 - x) + 15 = 95 – 1.5(5x + 12)


Solution justification

Answer 1

The value of x =
`(-58)/(3)`.

Explanation:

Given,

4.5(30 - x) + 15 = 95 – 1.5(5x + 12)

To find value of x.

4.5(30 - x) + 15 = 95 – 1.5(5x + 12)

or, 4.5×30 - 4.5×x = 95 - 1.5×5x-1.5×12 [ a(b+c) = ab+ac This property is known as distributive property]

or, 135 - 4.5x = 95 - 7.5x - 18

or, 7.5x - 4.5x = 95 - 18 - 135 [ Taking the variables in LHS and all the constant terms in RHS]

or, 3x = -58

or, x =
`(-58)/(3)`

Here is the value of x.