Questions: Question 10 Solve: 2m + 9.8 = 5.6m - 22.96 m=

Question 10 Solve: 2m + 9.8 = 5.6m - 22.96 m=
Transcript text: Question 10 Solve: $2 m+9.8=5.6 m-22.96$ \[ m= \] Question Help: Video Submit Question
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Solution

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Solution Steps

To solve the equation \(2m + 9.8 = 5.6m - 22.96\), we need to isolate the variable \(m\). This involves moving all terms containing \(m\) to one side of the equation and constant terms to the other side. Then, solve for \(m\) by performing the necessary arithmetic operations.

Step 1: Set Up the Equation

We start with the equation: \[ 2m + 9.8 = 5.6m - 22.96 \]

Step 2: Move Terms Involving \(m\) to One Side

Subtract \(2m\) from both sides to get: \[ 9.8 = 5.6m - 2m - 22.96 \]

Step 3: Simplify the Equation

Combine like terms: \[ 9.8 = 3.6m - 22.96 \]

Step 4: Isolate the Constant Term

Add \(22.96\) to both sides: \[ 9.8 + 22.96 = 3.6m \]

Step 5: Solve for \(m\)

Combine the constants: \[ 32.76 = 3.6m \]

Divide both sides by \(3.6\) to solve for \(m\): \[ m = \frac{32.76}{3.6} \]

Final Answer

The solution to the equation is: \[ \boxed{m = 9.100} \]

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