Solve $5 x+m=-6$ for $m$.
Answer (2)
Subtract 5 x from both sides of the equation 5 x + m = − 6 .
Simplify the equation to isolate m .
The solution is m = − 6 − 5 x .
Therefore, m = − 6 − 5 x .
Explanation
Understanding the Problem We are given the equation 5 x + m = − 6 and asked to solve for m . This means we want to isolate m on one side of the equation.
Isolating m To isolate m , we need to subtract 5 x from both sides of the equation: 5 x + m − 5 x = − 6 − 5 x
The Solution Simplifying the left side, we have: m = − 6 − 5 x
Examples
In physics, if you know the total force acting on an object and the force due to friction, you can rearrange the equation to solve for the applied force. Similarly, in economics, if you know the total cost and the variable costs, you can rearrange the equation to solve for the fixed costs. This algebraic manipulation is a fundamental skill in many quantitative fields.
To solve for m in the equation 5 x + m = − 6 , subtract 5 x from both sides. The result is m = − 6 − 5 x . Thus, the expression isolates m successfully.
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