Answer: X = 28
Step-by-step explanation:
So, in this equation, lets start with the parenthesis 1.5 multiplied by 60.
step 1: 1.5 * 60 = 90.
120 = 4x + 90 - 82.
Step 2: Lets subtract 82 from 90 because they both have no variables.
120 = 4x + 8
step 3: We need to get 4x by itself, so lets subtract 8 from both the sides.
120 - 8 = 4x + 8 - 8.
112 = 4x.
step 4: So, now 4 and x are multiplying, to reverse that operation we need to divide 4 from both the sides to get x by itself.
112/4 = 4x/4.
28 = x.
So, the value of x is 28.
To check:
We can substitute our x value to the equation.
120 = 4(28) + 1.5(60) - 82
120 = 112 + 90 - 82
120 = 112 + 8
120 = 120. Our final answer is the same. So, it is also proved.
