# At what value of the variable x is the value of the expression 3 (7x + 4) large values of the expression (17x + 4) by 17?

July 29, 2021 | education

| In order to find at what value of the variable x the value of the expression 3 (7x + 4) is greater than the value of the expression (17x + 4) by 17, we will compose and solve a linear equation.

We must subtract 17 from the first expression and equate it to the second.

3 (7x + 4) – 17 = (17x + 4);

Let’s open the brackets in both sides of the equation and get:

3 * 7x + 3 * 4 – 17 = 17x + 4;

21x + 12 – 17 = 17x + 4;

Next, we will group the terms with and without variables in different parts of the equation:

21x – 17x = 4 – 12 + 17;

4x = 9;

x = 9: 4;

x = 2.25.

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