We’re trying to get x alone on one side of the equation, but right now x is inside the parentheses on the right side of the equation. Let’s start by making this equation easier to work with. How can we rewrite the right side of the equation to get rid of the parentheses?

Question

3x+5x+6=2(4x+3)

Divide both sides by 4x

Subtract 2 from each side

Distribute the 2 to the 4x and to the 3

Answer 1

To rewrite the equation \(3x + 5x + 6 = 2(4x + 3)\) and eliminate the parentheses on the right side, you should distribute the 2 to both the \(4x\) and the \(3\).

Let's perform that step:

Starting with: \[ 3x + 5x + 6 = 2(4x + 3) \]

Distribute the 2: \[ 3x + 5x + 6 = 2 \cdot 4x + 2 \cdot 3 \] \[ 3x + 5x + 6 = 8x + 6 \]

Now the equation becomes: \[ 3x + 5x + 6 = 8x + 6 \]

After this step, you can combine like terms or perform further operations to isolate \(x\).