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Solve the equation.

{:[40=(x)/( 0.3)],[x=]:}

Solve the equation.\newline40=x0.3x= \begin{array}{l} 40=\frac{x}{0.3} \\ x= \end{array}

Full solution

Q. Solve the equation.\newline40=x0.3x= \begin{array}{l} 40=\frac{x}{0.3} \\ x= \end{array}
  1. Understand the equation: Understand the equation.\newlineThe equation 40=x0.340 = \frac{x}{0.3} means that xx divided by 0.30.3 equals 4040. We need to find the value of xx.
  2. Multiply by 00.33: Multiply both sides of the equation by 0.30.3 to isolate xx.\newline40×0.3=(x0.3)×0.340 \times 0.3 = \left(\frac{x}{0.3}\right) \times 0.3
  3. Perform left side multiplication: Perform the multiplication on the left side of the equation. 40×0.3=1240 \times 0.3 = 12
  4. Simplify right side: Simplify the right side of the equation.\newline(x0.3)×0.3=x×(0.30.3)=x×1=x(\frac{x}{0.3}) \times 0.3 = x \times (\frac{0.3}{0.3}) = x \times 1 = x
  5. Write down xx: Write down the value of xx.x=12x = 12