Solve for X: Fraction Equation x/5 = (x+3)/10 Step-by-Step

Cross-multiplication works when you have one fraction equal to another fraction, like $\frac{a}{b} = \frac{c}{d}$. It's the fastest method for these equations!

After cross-multiplying to get $10x = 5(x+3)$, remember to distribute the 5 to both terms inside the parentheses: $5 \times x + 5 \times 3 = 5x + 15$.

Both methods should give the same answer! If they don't, check your arithmetic. For this problem, multiplying both sides by 10 also gives $x = 3$.

Substitute back: $\frac{3}{5} = 0.6$ and $\frac{3+3}{10} = \frac{6}{10} = 0.6$. Since both sides equal 0.6, x = 3 is correct!

Don't worry! Common errors include forgetting to distribute or making arithmetic mistakes. Always check your work by substituting your answer back into the original equation.