
Solve each of the following equations. Make sure to check your solutions. (3x-2)/5+x+4/3=14(x+1)/15

Let's solve the equation step by step:

### Given Equation:
\[
\frac{3x - 2}{5} + x + \frac{4}{3} = \frac{14(x + 1)}{15}
\]

### Step 1: Eliminate the fractions by multiplying by the Least Common Denominator (LCD).
The LCD of 5, 3, and 15 is 15. Multiply the entire equation by 15 to eliminate the fractions:

\[
15 \left( \frac{3x - 2}{5} + x + \frac{4}{3} \right) = 15 \times \frac{14(x + 1)}{15}
\]

This gives:
\[
15 \times \frac

Solve each of the following equations. Make sure to check your solutions. (3x-2)/5+x+4/3=14(x+1)/15

This solution demonstrates how to solve a linear equation with fractions: (3x-2)/5 + x + 4/3 = 14(x+1)/15. The step-by-step approach involves eliminating fractions using the Least Common Denominator (LCD), simplifying the equation, and solving for x. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Given Equation:

Step 1: Eliminate the fractions by multiplying by the Least Common Denominator (LCD).

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