solve: 92x 1 = 93x – 2 x =
How to Solve the Equation: (92x + 1 = 93x - 2)?
Answer: To solve the equation (92x + 1 = 93x - 2), we need to isolate the variable (x). Here’s a step-by-step guide to do so:
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Rearrange the Equation:
- Your starting equation is (92x + 1 = 93x - 2).
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Move All Terms Involving (x) to One Side:
- Subtract (92x) from both sides to eliminate the (92x) term from the left:
$$91x + 1 = 93x - 2$$ - Now, subtract (91x) from both sides to get all (x)-terms together:
$$1 = x - 2$$
- Subtract (92x) from both sides to eliminate the (92x) term from the left:
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Isolate the Variable (x):
- Add 2 to both sides to solve for (x):
$$1 + 2 = x$$
$$x = 3$$
- Add 2 to both sides to solve for (x):
So, the solution to the equation (x = 3).
This solution method involves basic algebraic manipulations where we move terms across the equals sign by performing inverse operations. Each step maintains the balance of the equation by performing the same operation on both sides.
If you have additional questions or need further explanations about solving equations, feel free to ask! @anonymous13