Final answer:
To solve the equation 6m-8=2(m+5) and find the value of m, simplify the equation, isolate the variable m, and solve for m. The value of m is 4.5.
Step-by-step explanation:
To solve the equation 6m-8=2(m+5) and find the value of m, we need to simplify the equation and isolate the variable m on one side. Here are the steps:
- Distribute 2 to both terms inside the parentheses: 6m-8=2m+10
- Combine like terms by subtracting 2m from both sides: 6m-2m-8=10
- Simplify: 4m-8=10
- Add 8 to both sides: 4m=18
- Divide by 4 to solve for m: m=18/4
- Simplify: m=4.5
Therefore, to make the equation equal, m would be 4.5.