Problem

Find the value of $x$ in each of the following
a) $2 x-7=13$
b) $3 x+4=25$

Answer

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Answer

The solutions to the equations are \(x = 10\) for the first equation and \(x = 7\) for the second equation. So, the final answers are \(\boxed{10}\) and \(\boxed{7}\).

Steps

Step 1 :Given the equation \(2x - 7 = 13\), add 7 to both sides to get \(2x = 20\).

Step 2 :Divide both sides of the equation \(2x = 20\) by 2 to get \(x = 10\).

Step 3 :Given the equation \(3x + 4 = 25\), subtract 4 from both sides to get \(3x = 21\).

Step 4 :Divide both sides of the equation \(3x = 21\) by 3 to get \(x = 7\).

Step 5 :The solutions to the equations are \(x = 10\) for the first equation and \(x = 7\) for the second equation. So, the final answers are \(\boxed{10}\) and \(\boxed{7}\).

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