Question
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Answer
\( x = \frac{20}{3} \)
Solution
To solve the equation (x + 5)/7 = 5/3, follow these steps:
1. Multiply both sides of the equation by 7 to eliminate the denominator:
x + 5 = (5/3) × 7 = 35/3
2. Subtract 5 from both sides to isolate x:
x = (35/3) – 5
3. Express 5 as a fraction with denominator 3:
5 = 15/3
4. Substitute and subtract:
x = (35/3) – (15/3) = (35 – 15)/3 = 20/3
So, the solution is x = 20/3.
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Simplify this solution Mind Expander
To solve the equation \( \frac{x+5}{7}=\frac{5}{3} \), start by cross-multiplying to eliminate the fractions. This gives you \( 3(x + 5) = 35 \). Distributing the 3 results in \( 3x + 15 = 35 \). Next, subtract 15 from both sides to isolate the term with \( x \): \( 3x = 20 \). Finally, divide both sides by 3 to find \( x = \frac{20}{3} \). In a fun twist, think of cross-multiplying as a mathematical dance—sometimes you just have to switch partners to get the right balance! And remember, like cooking, following steps closely is crucial; a dash of miscalculation could lead you astray!
