QuestionSolve for $x$ in the equation $8 = 16x - 24$ .

Studdy Solution

STEP 1

Assumptions1. The equation is linear, meaning it can be written in the form $ax + b =0$ . . We are solving for the variable $x$ .

STEP 2

The given equation is $8 =16x -24$ . We need to isolate $x$ on one side of the equation. First, we add $24$ to both sides of the equation to eliminate the $-24$ on the right side.
$8 +24 =16x -24 +24$

STEP 3

implify both sides of the equation.
$32 =16x$

STEP 4

Next, we divide both sides of the equation by $16$ to isolate $x$ .
$\frac{32}{16} = \frac{16x}{16}$

STEP 5

implify both sides of the equation to find the value of $x$ .
$x =2$ So, the solution to the equation $8 =16x -24$ is $x =2$ .

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QuestionSolve for $x$ in the equation $8 = 16x - 24$ .

Studdy Solution

STEP 1

Assumptions1. The equation is linear, meaning it can be written in the form $ax + b =0$ . . We are solving for the variable $x$ .

STEP 2

The given equation is $8 =16x -24$ . We need to isolate $x$ on one side of the equation. First, we add $24$ to both sides of the equation to eliminate the $-24$ on the right side.
$8 +24 =16x -24 +24$

STEP 3

implify both sides of the equation.
$32 =16x$

STEP 4

Next, we divide both sides of the equation by $16$ to isolate $x$ .
$\frac{32}{16} = \frac{16x}{16}$

STEP 5

implify both sides of the equation to find the value of $x$ .
$x =2$ So, the solution to the equation $8 =16x -24$ is $x =2$ .

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QuestionSolve for xxx in the equation 8=16x−248 = 16x - 248=16x−24.

Studdy Solution

STEP 1

Assumptions1. The equation is linear, meaning it can be written in the form ax+b=0ax + b =0ax+b=0. . We are solving for the variable xxx.

STEP 2

The given equation is 8=16x−248 =16x -248=16x−24. We need to isolate xxx on one side of the equation. First, we add 242424 to both sides of the equation to eliminate the −24-24−24 on the right side.8+24=16x−24+248 +24 =16x -24 +248+24=16x−24+24

STEP 3

implify both sides of the equation.32=16x32 =16x32=16x

STEP 4

Next, we divide both sides of the equation by 161616 to isolate xxx.3216=16x16\frac{32}{16} = \frac{16x}{16}1632​=1616x​

STEP 5

implify both sides of the equation to find the value of xxx.x=2x =2x=2So, the solution to the equation 8=16x−248 =16x -248=16x−24 is x=2x =2x=2.

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QuestionSolve for $x$ in the equation $8 = 16x - 24$ .

Assumptions1. The equation is linear, meaning it can be written in the form $ax + b =0$ . . We are solving for the variable $x$ .

The given equation is $8 =16x -24$ . We need to isolate $x$ on one side of the equation. First, we add $24$ to both sides of the equation to eliminate the $-24$ on the right side.
$8 +24 =16x -24 +24$

implify both sides of the equation.
$32 =16x$

Next, we divide both sides of the equation by $16$ to isolate $x$ .
$\frac{32}{16} = \frac{16x}{16}$

implify both sides of the equation to find the value of $x$ .
$x =2$ So, the solution to the equation $8 =16x -24$ is $x =2$ .