Questions: 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

Solution

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 $m$: \[ m = \frac{32.76}{3.6} \]