Questions: Solve for x. (x-3)/15=2/5 Simplify your answer as much as possible.

Transcript text: Solve for $x$. \[ \frac{x-3}{15}=\frac{2}{5} \] Simplify your answer as much as possible.

Solution

Solution Steps

To solve for $ x $ in the given equation, we can use cross-multiplication to eliminate the fractions. This will give us a linear equation that we can solve for $ x $.

Solution Approach

Cross-multiply to eliminate the fractions.
Simplify the resulting equation.
Solve for $ x $.

Step 1: Cross-Multiply

Starting with the equation: \[ \frac{x-3}{15} = \frac{2}{5} \] we cross-multiply to eliminate the fractions: \[ 5(x - 3) = 2 \cdot 15 \]

Step 2: Simplify the Equation

Expanding both sides gives: \[ 5x - 15 = 30 \] Next, we add 15 to both sides: \[ 5x = 45 \]

Step 3: Solve for $ x $

Dividing both sides by 5 results in: \[ x = 9 \]

Final Answer

$\boxed{x = 9}$

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