Question

For what value of x do the expressions 8x-11 and 19-2x have the same value?

Answer 1

The value of x for which the expressions 8x-11 and 19-2x are equal is 3. We solve for x by setting 8x-11 equal to 19-2x and simplifying the equation.

Step-by-step explanation:

We are asked to find the value of x for which the expressions 8x-11 and 19-2x are equal. To find this, we set the two expressions equal to each other and solve for x:

8x - 11 = 19 - 2x.

Now, we add 2x to both sides and add 11 to both sides to get:

8x + 2x = 19 + 11,

10x = 30.

Divide both sides by 10 to isolate x:

x = 30 / 10,

x = 3.

The value of x for which the two expressions are equal is 3.