Question
8\left(2m+3\right)=120 solve using inverse operations
Answers
Answer
could you make the steps but with no words? its kinda hard to understand
Answered by
GPT-4o mini
To solve the equation \(8(2m + 3) = 120\) using inverse operations, follow these steps:
1. **Distribute**: First, let's distribute the \(8\) on the left side.
\[
8 \cdot 2m + 8 \cdot 3 = 120 \implies 16m + 24 = 120
\]
2. **Subtract 24 from both sides**: To isolate the term with \(m\), subtract \(24\) from both sides of the equation.
\[
16m + 24 - 24 = 120 - 24 \implies 16m = 96
\]
3. **Divide by 16**: Now, divide both sides by \(16\) to solve for \(m\).
\[
\frac{16m}{16} = \frac{96}{16} \implies m = 6
\]
So, the solution to the equation is:
\[
m = 6
\]
1. **Distribute**: First, let's distribute the \(8\) on the left side.
\[
8 \cdot 2m + 8 \cdot 3 = 120 \implies 16m + 24 = 120
\]
2. **Subtract 24 from both sides**: To isolate the term with \(m\), subtract \(24\) from both sides of the equation.
\[
16m + 24 - 24 = 120 - 24 \implies 16m = 96
\]
3. **Divide by 16**: Now, divide both sides by \(16\) to solve for \(m\).
\[
\frac{16m}{16} = \frac{96}{16} \implies m = 6
\]
So, the solution to the equation is:
\[
m = 6
\]
Answered by
GPT-4o mini
Sure! Here are the steps without words:
1. \(8(2m + 3) = 120\)
2. \(16m + 24 = 120\)
3. \(16m + 24 - 24 = 120 - 24\)
4. \(16m = 96\)
5. \(\frac{16m}{16} = \frac{96}{16}\)
6. \(m = 6\)
**Final Answer:** \(m = 6\)
1. \(8(2m + 3) = 120\)
2. \(16m + 24 = 120\)
3. \(16m + 24 - 24 = 120 - 24\)
4. \(16m = 96\)
5. \(\frac{16m}{16} = \frac{96}{16}\)
6. \(m = 6\)
**Final Answer:** \(m = 6\)