Solve the Fractional Equation: What Equals X in 70x + 4/3 + 6/9 = 68x - 15x?

Simplifying $\frac{6}{9} = \frac{2}{3}$ makes adding fractions much easier! Now you can add $\frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2$ directly instead of finding a common denominator.

Subtract the coefficients: $68x - 15x = (68-15)x = 53x$. Remember, when subtracting variables with the same base, just subtract their coefficients!

Negative fractions are completely normal solutions! Just make sure the fraction is in lowest terms. In this case, $-\frac{2}{17}$ cannot be simplified further.

Yes! You could subtract $68x$ from both sides first, then add $15x$. The order doesn't matter as long as you perform the same operation on both sides.

Substitute $x = -\frac{2}{17}$ back into the original equation. Calculate each side separately and verify they're equal. Use a calculator if needed for complex fraction arithmetic!