QuestionSolve the equation: $1.5x - 1.2 - x = 0.5$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $1.5x -1. - x =0.5$ . We are solving for the variable $x$

STEP 2

First, we need to simplify the equation by combining like terms. We can do this by subtracting $x$ from $1.5x$ .
$1.5x - x -1.2 =0.5$

STEP 3

Now, simplify the left side of the equation.
$0.5x -1.2 =0.5$

STEP 4

Next, we need to isolate the variable $x$ . We can do this by adding $1.2$ to both sides of the equation.
$0.x -1.2 +1.2 =0. +1.2$

STEP 5

implify both sides of the equation.
$0.5x =1.7$

STEP 6

Finally, to solve for $x$ , we divide both sides of the equation by $0.5$ .
$x = \frac{1.}{0.5}$

STEP 7

implify the right side of the equation to find the value of $x$ .
$x =3.4$ So the solution to the equation $1.5x -1.2 - x =0.5$ is $x =3.4$ .

Was this helpful?

QuestionSolve the equation: $1.5x - 1.2 - x = 0.5$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $1.5x -1. - x =0.5$ . We are solving for the variable $x$

STEP 2

First, we need to simplify the equation by combining like terms. We can do this by subtracting $x$ from $1.5x$ .
$1.5x - x -1.2 =0.5$

STEP 3

Now, simplify the left side of the equation.
$0.5x -1.2 =0.5$

STEP 4

Next, we need to isolate the variable $x$ . We can do this by adding $1.2$ to both sides of the equation.
$0.x -1.2 +1.2 =0. +1.2$

STEP 5

implify both sides of the equation.
$0.5x =1.7$

STEP 6

Finally, to solve for $x$ , we divide both sides of the equation by $0.5$ .
$x = \frac{1.}{0.5}$

STEP 7

implify the right side of the equation to find the value of $x$ .
$x =3.4$ So the solution to the equation $1.5x -1.2 - x =0.5$ is $x =3.4$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: 1.5x−1.2−x=0.51.5x - 1.2 - x = 0.51.5x−1.2−x=0.5.

Studdy Solution

STEP 1

Assumptions1. The equation is 1.5x−1.−x=0.51.5x -1. - x =0.51.5x−1.−x=0.5 . We are solving for the variable xxx

STEP 2

First, we need to simplify the equation by combining like terms. We can do this by subtracting xxx from 1.5x1.5x1.5x.1.5x−x−1.2=0.51.5x - x -1.2 =0.51.5x−x−1.2=0.5

STEP 3

Now, simplify the left side of the equation.0.5x−1.2=0.50.5x -1.2 =0.50.5x−1.2=0.5

STEP 4

Next, we need to isolate the variable xxx. We can do this by adding 1.21.21.2 to both sides of the equation.0.x−1.2+1.2=0.+1.20.x -1.2 +1.2 =0. +1.20.x−1.2+1.2=0.+1.2

STEP 5

implify both sides of the equation.0.5x=1.70.5x =1.70.5x=1.7

STEP 6

Finally, to solve for xxx, we divide both sides of the equation by 0.50.50.5.x=1.0.5x = \frac{1.}{0.5}x=0.51.​

STEP 7

implify the right side of the equation to find the value of xxx.x=3.4x =3.4x=3.4So the solution to the equation 1.5x−1.2−x=0.51.5x -1.2 - x =0.51.5x−1.2−x=0.5 is x=3.4x =3.4x=3.4.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: $1.5x - 1.2 - x = 0.5$ .

Assumptions1. The equation is $1.5x -1. - x =0.5$ . We are solving for the variable $x$

First, we need to simplify the equation by combining like terms. We can do this by subtracting $x$ from $1.5x$ .
$1.5x - x -1.2 =0.5$

Now, simplify the left side of the equation.
$0.5x -1.2 =0.5$

Next, we need to isolate the variable $x$ . We can do this by adding $1.2$ to both sides of the equation.
$0.x -1.2 +1.2 =0. +1.2$

implify both sides of the equation.
$0.5x =1.7$

Finally, to solve for $x$ , we divide both sides of the equation by $0.5$ .
$x = \frac{1.}{0.5}$

implify the right side of the equation to find the value of $x$ .
$x =3.4$ So the solution to the equation $1.5x -1.2 - x =0.5$ is $x =3.4$ .