Question - Solving Linear Equation for x
Solution:
The equation in the image is:\[x + 3 = 5x - 1\]To solve the equation for $$x$$, follow these steps:1. Get all terms containing $$x$$ on one side of the equation and the constant terms on the other side. You can do this by subtracting $$x$$ from both sides to get all the $$x$$'s on one side, and adding $$1$$ to both sides to get all the constants on the other side.\[x - x + 3 + 1 = 5x - x - 1 + 1\]Simplifying this gives:\[4 = 4x\]2. Now, to solve for $$x$$, divide both sides of the equation by $$4$$:\[\frac{4}{4} = \frac{4x}{4}\]This simplifies to:\[1 = x\]So, the solution to the equation is:\[x = 1\]
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