To solve the equation \( 3(x + 2) = 2x + 8 \), follow these steps: 1. Distribute the 3 on the left side: \[ 3x + 6 = 2x + 8 \] 2. Next, isolate the variable \( x \). Begin by subtracting \( 2x \) from both sides: \[ 3x - 2x + 6 = 8 \] Simplifying gives: \[ x + 6 = 8 \] 3. Now, subtract 6 from both sides: \[ x = 8 - 6 \] Simplifying gives: \[ x = 2 \] The solution to the equation is \( x = 2 \).

3(x + 2) = 2x + 8

1 answer

To solve the equation \( 3(x + 2) = 2x + 8 \), follow these steps:

Distribute the 3 on the left side: \[ 3x + 6 = 2x + 8 \]
Next, isolate the variable \( x \). Begin by subtracting \( 2x \) from both sides: \[ 3x - 2x + 6 = 8 \] Simplifying gives: \[ x + 6 = 8 \]
Now, subtract 6 from both sides: \[ x = 8 - 6 \] Simplifying gives: \[ x = 2 \]

The solution to the equation is \( x = 2 \).