4+8(3x-2)-7x use order of operations
To simplify the expression using the order of operations, we follow these steps:
1. Start with parentheses: There are no parentheses in the expression.
2. Calculate exponents: There are no exponents in the expression.
3. Perform multiplication and division from left to right: The multiplication to perform is 8(3x-2). Distributing the 8, we get 24x - 16. Replacing this in the expression, we have 4 + (24x - 16) - 7x.
4. Perform addition and subtraction from left to right: Adding 4 and -16, we get -12. Replacing this in the expression, we have (-12 + 24x) - 7x.
Now, we can combine like terms: -12 + 24x - 7x = 17x - 12.
Therefore, the simplified form of the expression using the order of operations is 17x - 12.
To simplify the expression 4 + 8(3x - 2) - 7x using the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), follow these steps:
Step 1: Simplify within parentheses
The expression inside the parentheses is 3x - 2. We can't simplify further, so we keep it as it is.
4 + 8(3x - 2) - 7x becomes 4 + 8(3x - 2) - 7x
Step 2: Simplify multiplication within parentheses
Multiply 8 by each term within the parentheses.
8(3x - 2) becomes 24x - 16
The expression now becomes 4 + (24x - 16) - 7x
Step 3: Simplify addition and subtraction from left to right
Perform the operations one step at a time.
4 + (24x - 16) - 7x becomes 4 + 24x - 16 - 7x
Step 4: Combine like terms
Combine the terms with the same variable.
4 + 24x - 16 - 7x becomes (24x - 7x) + 4 - 16
Simplify further:
17x - 12
Therefore, the simplified expression is 17x - 12.
To solve this mathematical expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)), follow these steps:
1. Begin by simplifying within the parentheses: (3x-2).
2. Next, distribute the 8 to each term within the parentheses: 8 * 3x = 24x and 8 * -2 = -16. The expression now becomes: 4 + 24x - 16 - 7x.
3. Combine like terms: 24x - 7x = 17x. The expression is now simplified to: 4 + 17x - 16.
4. Further simplify by performing the addition and subtraction from left to right: 4 + (-16) = -12. Therefore, the final answer is -12 + 17x.
Hence, the simplified expression using the order of operations is -12 + 17x.