EQUATION:
3{[7(8-2)+4]-[2(2•8-5)+6]}
MY WORK:
(YES THERE ARE MANY STEPS)
3{[7(6)+4]-[2(2•8-5)+6]}
3{[42+4]-[2(2•8-5)+6]}
3{[46]-[2(2•8-5)+6]}
3{46-[(16-5)+6]}
3{46-[2(11)+6]}
3{46-[22+6]}
3{46-28}
3{18}
54
you can do more than one step at a time if they don't affect each other
3{[7(8-2)+4]-[2(2•8-5)+6]}
= 3{[7(6)+4]-[2(16-5)+6]}
= 3{[42+4]-[2(11)+6]}
= 3{[46]-[22+6]}
= 3{[46]-[28]}
= 3{18}
= 54
so you are right,
notice the use of the = sign at the beginning of each new line
What you are saying by that is "What I am about to write is equal to the previous expression"
btw, the original is an "expression" not an "equation"
okay thank you! and thanks for the tips!
To solve the equation 3{[7(8-2)+4]-[2(2•8-5)+6]}, you need to follow the order of operations (also known as PEMDAS or BODMAS).
Step 1: Evaluate the expression inside the innermost parentheses.
8 - 2 = 6
Step 2: Calculate the exponentiation if present. In this case, there is none.
Step 3: Multiply or divide from left to right. Start with 7 multiplied by the result from Step 1.
7 * 6 = 42
Step 4: Move to the next operation inside the innermost parentheses. Multiply 2 by the result of (2•8-5).
(2 • 8) - 5 = 11
Step 5: Add or subtract from left to right. Continue with 2 times the result from Step 4.
2 * 11 = 22
Step 6: Add the value from Step 5 to 6.
22 + 6 = 28
Step 7: Calculate the expression inside the outermost pair of brackets. Start with (7(8-2)+4).
7(8 - 2) = 7(6) = 42
42 + 4 = 46
Step 8: Now, work on the second expression inside the outermost pair of brackets: [2(2•8-5)+6].
(2 • 8) - 5 = 11
2 * 11 = 22
22 + 6 = 28
Step 9: Evaluate the expression inside the curly braces, using the values calculated in Steps 7 and 8.
46 - 28 = 18
Step 10: Multiply the result from Step 9 by 3.
3 * 18 = 54
Therefore, the final answer is 54.