Question

Given the equation 3x + 25 = 7x − 5, which order of operations completely solves for x?

Answer 1

Hello @dani120

Answer 2

\[3x + 25 = 7x - 5\]

Answer 3

To solve for x, we want to isolate x. We'll be using PEMDAS, or the order of operations. Do you know what those are?

Answer 4

no

Answer 5

Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

There are no parentheses and exponents, so we'll just be using the last four.

Answer 6

Lets start with addition.
\[3x + 25 = 7x - 5\]
Let's add 5 to both sides

\[3x + 30 = 7x\]
Now instead of four terms, we have only three. What do you think we should do next?