$The solution of the equation 5 (x - 5) = 25 is x =$ .

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Solution

Given, the equation is $5 (x - 5) = 25.$

Step 1: Expand $5 (x - 5) = 25$ by distributive property of multiplication.
$5 (x - 5) = 5 \times x - 5 \times 5 = 5 x - 25$
$∴ 5 x - 25 = 25$

Step 2: Add both sides of the equation by 25 to eliminate 25 on the left side of the equation.
$\Rightarrow 5 x - 25 + 25 = 25 + 25 \Rightarrow 5 x = 50$

Step 3: Now, divide both sides by 5 to eliminate 5 on the left side of the equation.
$\Rightarrow \frac{5 x}{5} = \frac{50}{5} \Rightarrow \frac{5 \times x}{5} = \frac{5 \times 10}{5} \Rightarrow x = 10$

Hence, solution of the equation $5 (x - 5) = 25$ is $x = 10.$

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