Math

QuestionSolve for x x in the equation 2x+9=16 2 x + 9 = 16 .

Studdy Solution

STEP 1

Assumptions1. The equation is x+9=16x +9 =16. . We will use basic algebra to solve for xx.
3. Our goal is to isolate xx, the variable, on one side of the equation.

STEP 2

First, we will start by isolating the term containing xx from other terms. We can do this by subtracting 99 from both sides of the equation.
(2x+9)9=169(2x +9) -9 =16 -9

STEP 3

Subtract 99 from both sides to isolate 2x2x on one side.
2x=1692x =16 -9

STEP 4

Calculate the value on the right hand side.
2x=72x =7

STEP 5

Next, we need to isolate xx by getting rid of the coefficient 22. We can do this by dividing both sides by 22.
2x2=72\frac{2x}{2} = \frac{7}{2}

STEP 6

Divide both sides by 22 to calculate the value of xx.
x=/2x =/2
So, the solution is x=/2x =/2 or x=3.5x =3.5 in decimal form.

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