Question

The sum of 2 times a number and 6 is 5.

Answer 1

$x=5$

Since the number is unknown, we'll call it x. So if 2 times the number (x) plus 6 equals 5, you would write this as the equation 2x + 6 = 5. In order to solve for x, you need to get rid of the 6 and the coefficient (the number in front of the x).

First, get rid of the 6 by subtracting 6 from both sides of the equation (to make sure the equation stays correct, you need to do the same thing to both sides), so

$2x + 6 - 6= 5 - 6$

$2x=-1$

Now, to get rid of the 2, divide each side of the equation by 2:

$2x/2 = -1/2$

$x = -1/2 ( or (-0.5))$

To check your answer, substitute $-1/2 (or -0.5)$ for x in your original equation like so:

$2x + 6 = 5$

$2(-1/2) + 6 = 5$

$-2/2 + 6 = 5$

(to multiply a whole number by a fraction, you write the whole number as a fraction ( then multiply the numerators and denominators)

$-\frac{2}{2}=-1$  , so

$5=5$

Learn more about substitution here

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