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Solve for and write your answer in simplest form.Answer:
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Q. Solve for and write your answer in simplest form.Answer:
- Distribute negative sign: First, let's simplify the equation by distributing the negative sign on the right side of the equation.
- Combine like terms: Next, we combine like terms on the right side of the equation.
- Convert to common denominator: Now, we need to convert to a fraction with a denominator of to combine it with . The equivalent fraction for with a denominator of is .
- Add fractions: We then add the fractions on the right side of the equation.
- Isolate x terms: Now, we want to get all the x terms on one side and the constants on the other side. Let's add to both sides of the equation and add to both sides as well.
- Combine terms: Simplify the equation by combining like terms.\(-7 + \left(\frac{}{}\right)x = \left(-\frac{}{} + \frac{}{}\right)x
- Subtract term: To combine the terms, we need a common denominator. The least common denominator for and is . We convert to a fraction with a denominator of , which is .\(-7 + (\frac{}{})x = (-\frac{}{} + \frac{}{})x
- Combine terms: Now we add the fractions on the right side of the equation.
- Isolate constant term: Next, we subtract from both sides to isolate the constant term on one side.
- Combine terms: Combine the terms on the right side.
- Solve for x: To solve for x, we multiply both sides by the reciprocal of , which is or .
- Multiply by reciprocal: Now we multiply by .
