Solve the equation for x.
2x + 22 = 4(x + 3)
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To solve the equation (2x + 22 = 4(x + 3)), follow these steps:
1. First, expand the right side:
(4(x + 3) = 4x + 12)
Now the equation looks like this:
(2x + 22 = 4x + 12)
2. Next, let’s get all the (x) terms on one side and constants on the other side. Subtract (2x) from both sides:
(22 = 4x – 2x + 12)
This simplifies to:
(22 = 2x + 12)
3. Now, isolate the (x) term by subtracting (12) from both sides:
(22 – 12 = 2x)
(10 = 2x)
4. Finally, divide both sides by (2) to solve for (x):
(x = frac{10}{2} = 5)
So, the solution is (x = 5). Great job working through this! If you need more help or have more questions, feel free to ask or check the extended services page for more assistance.