To solve this equation, we need to follow the order of operations (PEMDAS) which states that we need to perform operations inside the parentheses first, then any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
To solve this equation, we need to follow the order of operations (PEMDAS) which states that we need to perform operations inside the parentheses first, then any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Given equation: (97 + 75:(50 - 5X)) x 3 = 300
Step 1: Solve the expression inside the parentheses.
97 + 75:(50 - 5X)
= 97 + 75 / (50 - 5X)
= 97 + 75 / (50 - 5X)
Step 2: Simplify the expression further.
= 97 + 75 / (50 - 5X)
= 97 + 75 / (50 - 5X)
= 97 + 75 / 50 - 5X
= 97 + 1.5 - 5X
= 98.5 - 5X
Step 3: Multiply this expression by 3.
(98.5 - 5X) x 3 = 300
Step 4: Distribute the 3 to the terms inside the parentheses.
98.5 x 3 - 5X x 3 = 300
Step 5: Multiply the terms.
295.5 - 15X = 300
Step 6: Subtract 295.5 from both sides to isolate X.
-15X = 4.5
Step 7: Divide by -15 to solve for X.
X = -0.3
Therefore, the solution to the equation is X = -0.3.