Answer:
x = 9
Explanation:
Given equation:
Apply distributive property rule: x(y + z) = xy + xz
Combine like terms on the left hand side to simplify the expression:
Add 21 on both sides to remove all the mathematical operations (addition, subtraction, multiplication, division) being performed on the L.H.S
Cancel the "-" by dividing "-1" both sides:
Divide 3 on both sides to isolate the coefficient from x.
Check:
Now, let's check our answer. This can be done by substituting the obtained value of "x", into the given equation and simplifying it.
Correct/Incorrect:
If L.H.S = R.H.S, then the value of "x" is correct.
If L.H.S ≠ R.H.S, then we might have to recheck our work we did above.
Plugging x = 9 into the equation:
Simplifying the expression using PEMDAS:
Simplifying the expression inside the parentheses (18 + 5) and evaluating the product of 5 and 9:
Opening the parentheses "-4[23]" and multiplying -4 and 23
Subtracting 45 both sides of the equation:
Simplifying the L.H.S:
Therefore, our answer is correct.