Question

What value of x makes this equation true? 2x + 3 = 9

Answer 1

Answer:

the is x would equal to 3

Answer 2

Answer:

$\boxed {\tt x=3}$

Step-by-step explanation:

We want to solve for x, therefore we must isolate the variable.

We are given the equation:

$2x+3=9$

3 is being added to 2x. The inverse of addition is subtraction. Subtract 3 from both sides of the equation.

$2x+3-3=9-3$

$2x=9-3$

$2x=6$

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

$\frac{2x}{2} =\frac{6}{2}$

$x=\frac{6}{2}$

$x=3$

Let's check our solution. Plug 3 in for x and solve.

$2x+3=9$

$2(3)+3=9$

$6+3=9$

$9=9$

This checks out, so we know our solution is correct.

The solution to the equation 2x+3=9 is x=3