Video: Solving Linear Equations with an Unknown on Both Sides of the Equation

Find the value of 𝑥: 16 − 2𝑥 = 5𝑥 + 9.

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Video Transcript

Find the value of 𝑥 from the equation 16 minus two 𝑥 equals five 𝑥 plus nine.

In order to solve this equation, we are going to use the balancing method. Our first step is to add two 𝑥 to both sides of the equation. This leaves us with 16 equals seven 𝑥 plus nine as five 𝑥 plus two 𝑥 equals seven 𝑥.

Secondly, we can subtract nine from both sides of the equation. 16 minus nine is equal to seven. And positive nine minus nine is equal to zero.

Finally, dividing both sides of this equation by seven gives us an answer of 𝑥 equals one.

Therefore, the value of 𝑥 that solves the equation 16 minus two 𝑥 equals five 𝑥 plus nine is 𝑥 equals one.

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