QuestionFind the value of $x$ that satisfies the equation: $1.2 x + 9 = 0.6 x + 1.8$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $1.x +9 =0.6x +1.8$ . We are looking for the value of $x$ that makes the equation true.

STEP 2

First, we need to isolate the terms with $x$ on one side of the equation and the constants on the other side. Let's start by subtracting $0.6x$ from both sides of the equation.
$1.2x -0.6x +9 =0.6x -0.6x +1.8$

STEP 3

implify the equation.
$0.6x +9 =1.8$

STEP 4

Next, subtract $9$ from both sides of the equation to isolate the term with $x$ .
$0.6x +9 -9 =1.8 -9$

STEP 5

implify the equation.
$0.x = -7.2$

STEP 6

Finally, to solve for $x$ , divide both sides of the equation by $0.6$ .
$x = \frac{-.2}{0.6}$

STEP 7

Calculate the value of $x$ .
$x = \frac{-7.2}{0.6} = -12$ The value of $x$ that makes the equation true is $-12$ .

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QuestionFind the value of $x$ that satisfies the equation: $1.2 x + 9 = 0.6 x + 1.8$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $1.x +9 =0.6x +1.8$ . We are looking for the value of $x$ that makes the equation true.

STEP 2

First, we need to isolate the terms with $x$ on one side of the equation and the constants on the other side. Let's start by subtracting $0.6x$ from both sides of the equation.
$1.2x -0.6x +9 =0.6x -0.6x +1.8$

STEP 3

implify the equation.
$0.6x +9 =1.8$

STEP 4

Next, subtract $9$ from both sides of the equation to isolate the term with $x$ .
$0.6x +9 -9 =1.8 -9$

STEP 5

implify the equation.
$0.x = -7.2$

STEP 6

Finally, to solve for $x$ , divide both sides of the equation by $0.6$ .
$x = \frac{-.2}{0.6}$

STEP 7

Calculate the value of $x$ .
$x = \frac{-7.2}{0.6} = -12$ The value of $x$ that makes the equation true is $-12$ .

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QuestionFind the value of xxx that satisfies the equation: 1.2x+9=0.6x+1.81.2 x + 9 = 0.6 x + 1.81.2x+9=0.6x+1.8.

Studdy Solution

STEP 1

Assumptions1. The equation given is 1.x+9=0.6x+1.81.x +9 =0.6x +1.81.x+9=0.6x+1.8 . We are looking for the value of xxx that makes the equation true.

STEP 2

First, we need to isolate the terms with xxx on one side of the equation and the constants on the other side. Let's start by subtracting 0.6x0.6x0.6x from both sides of the equation.1.2x−0.6x+9=0.6x−0.6x+1.81.2x -0.6x +9 =0.6x -0.6x +1.81.2x−0.6x+9=0.6x−0.6x+1.8

STEP 3

implify the equation.0.6x+9=1.80.6x +9 =1.80.6x+9=1.8

STEP 4

Next, subtract 999 from both sides of the equation to isolate the term with xxx.0.6x+9−9=1.8−90.6x +9 -9 =1.8 -90.6x+9−9=1.8−9

STEP 5

implify the equation.0.x=−7.20.x = -7.20.x=−7.2

STEP 6

Finally, to solve for xxx, divide both sides of the equation by 0.60.60.6.x=−.20.6x = \frac{-.2}{0.6}x=0.6−.2​

STEP 7

Calculate the value of xxx.x=−7.20.6=−12x = \frac{-7.2}{0.6} = -12x=0.6−7.2​=−12The value of xxx that makes the equation true is −12-12−12.

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QuestionFind the value of $x$ that satisfies the equation: $1.2 x + 9 = 0.6 x + 1.8$ .

Assumptions1. The equation given is $1.x +9 =0.6x +1.8$ . We are looking for the value of $x$ that makes the equation true.

First, we need to isolate the terms with $x$ on one side of the equation and the constants on the other side. Let's start by subtracting $0.6x$ from both sides of the equation.
$1.2x -0.6x +9 =0.6x -0.6x +1.8$

implify the equation.
$0.6x +9 =1.8$

Next, subtract $9$ from both sides of the equation to isolate the term with $x$ .
$0.6x +9 -9 =1.8 -9$

implify the equation.
$0.x = -7.2$

Finally, to solve for $x$ , divide both sides of the equation by $0.6$ .
$x = \frac{-.2}{0.6}$

Calculate the value of $x$ .
$x = \frac{-7.2}{0.6} = -12$ The value of $x$ that makes the equation true is $-12$ .