To solve the equation \( 4x + 2 = 10 \), the steps are as follows:
Steps to Solve the Equation \( 4x + 2 = 10 \)
-
Step 1: Subtract 2 from both sides of the equation. \[ 4x + 2 - 2 = 10 - 2 \implies 4x = 8 \]
-
Step 2: Divide both sides by 4. \[ \frac{4x}{4} = \frac{8}{4} \implies x = 2 \]
-
Step 3: State the solution. \[ x = 2 \]
Question 2: Solve the equation \( -5x + 20 = -5 \)
To solve it, we can do the following:
-
Subtract 20 from both sides: \[ -5x = -5 - 20 \implies -5x = -25 \]
-
Divide both sides by -5: \[ x = \frac{-25}{-5} \implies x = 5 \]
So, \( x = 5 \).
Question 3: Solve the equation \( 3 + 4m = -21 \)
To solve this equation:
-
Subtract 3 from both sides: \[ 4m = -21 - 3 \implies 4m = -24 \]
-
Divide both sides by 4: \[ m = \frac{-24}{4} \implies m = -6 \]
So, \( m = -6 \).
Summary of Answers:
- For Equation 1: \( x = 2 \)
- For Equation 2: \( x = 5 \)
- For Equation 3: \( m = -6 \)