To solve the equation 5 + (2x / 3x) - 1 = 6/7, we can follow these steps: Step 1: Simplify the expression on the left side of the equation. The expression (2x / 3x) can be simplified to 2/3 by canceling out the common factor of x. So, the equation becomes 5 + (2/3) - 1 = 6/7. Step 2: Combine like terms on the left side of the equation. The expression 5 + (2/3) - 1 can be simplified to (15/3) + (2/3) - (3/3) = 14/3. So, the equation becomes 14/3 = 6/7. Step 3: Cross-multiply to eliminate fractions. Multiply the numerator of the left side (14) by the denominator of the right side (7), and multiply the denominator of the left side (3) by the numerator of the right side (6). This gives us: 14 * 7 = 3 * 6. Step 4: Simplify and solve for x. Simplifying the equation gives us 98 = 18. Since 98 is not equal to 18, the equation is not true. Therefore, there is no solution for the given equation. In conclusion, the equation 5 + (2x / 3x) - 1 = 6/7 does not have a solution.