solve.(polynomials)
3(x-5)=45
3x - 15 = 45
3x = 30
x = 10
3x = 60
x = 20
X=20
To solve the given polynomial equation, 3(x-5) = 45, we will follow these steps:
Step 1: Distribute the 3 to terms inside the parentheses:
3 * x = 3x
3 * -5 = -15
The equation then becomes:
3x - 15 = 45
Step 2: Add 15 to both sides of the equation to isolate the term with the variable:
3x - 15 + 15 = 45 + 15
3x = 60
Step 3: Divide both sides by 3 to solve for x:
(3x)/3 = 60/3
x = 20
Therefore, the solution to the polynomial equation 3(x-5) = 45 is x = 20.