how to solve 18x - (8x - 7) + 67
To solve the expression 18x - (8x - 7) + 67, we need to simplify it by following the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition, and Subtraction - from left to right).
Let's break down the steps to solve the expression:
Step 1: Simplify the expression inside the parentheses.
Inside the parentheses (8x - 7), we have a subtraction operation. To simplify it, we distribute the negative sign to both terms inside the parentheses:
8x - 7 becomes 8x + (-7), which is the same as 8x - 7.
Step 2: Apply the distributive property.
Now that we have simplified the expression inside the parentheses, we can distribute the 18x to both terms inside:
18x - (8x - 7) + 67 becomes 18x - 8x + 7 + 67.
Step 3: Combine like terms.
Combine the terms that have the same variable raised to the same power:
18x - 8x is equal to 10x.
Similarly, 7 + 67 equals 74.
Putting it all together, the expression 18x - (8x - 7) + 67 simplifies to 10x + 74.
If you wanted factored its 2(5x+37).
If wanted it simplified its 10x+74.
If you wanted to combine the expressions its 10x+74.
If you wanted it evaluated plug in x.