I need help and no one in my family knows the answer **Exercise 6: Solving the Equation**Objective: Solve the given linear equation step-by-step.Equation: \[\frac{1}{3}(x + 6) = \frac{1}{2}(x - 3)\]**Instructions:**To solve the equation, follow these steps:1. Distribute the fractions across the parentheses on both sides of the equation.2. Simplify each side.3. Isolate the variable $x$.**Solution:**1. Distribute the fractions: - Left side: $\frac{1}{3}(x) + \frac{1}{3}(6)$ - Right side: $\frac{1}{2}(x) - \frac{1}{2}(3)$2. Simplify each expression: - Left side becomes $\frac{1}{3}x + 2$ - Right side becomes $\frac{1}{2}x - \frac{3}{2}$3. Set the two expressions equal and solve for $x$: \[ \frac{1}{3}x + 2 = \frac{1}{2}x - \frac{3}{2} \]4. Rearrange to isolate $x$ on one side.By following these steps, you will find the value of $x$ that satisfies the equation.

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Answered: 6. Solve the equation (x+6)x3)

Math

Algebra

6. Solve the equation (x+6)x3)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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