Question Find the value of $x$ that satisfies the equation $-2x + 3 = -15$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the linear equation $-2x + 3 = -15$ .
2. We need to solve for the variable $x$ .

STEP 2

Start by isolating the term containing $x$ on one side of the equation. To do this, we will subtract 3 from both sides of the equation to eliminate the constant term on the left side.
$-2x + 3 - 3 = -15 - 3$

STEP 3

Perform the subtraction on both sides of the equation.
$-2x = -18$

STEP 4

Now, we need to solve for $x$ by getting rid of the coefficient -2. We do this by dividing both sides of the equation by -2.
$\frac{-2x}{-2} = \frac{-18}{-2}$

STEP 5

Perform the division on both sides of the equation.
$x = 9$
The value of $x$ that makes the equation $-2x + 3 = -15$ true is $x = 9$ .

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Question Find the value of $x$ that satisfies the equation $-2x + 3 = -15$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the linear equation $-2x + 3 = -15$ .
2. We need to solve for the variable $x$ .

STEP 2

Start by isolating the term containing $x$ on one side of the equation. To do this, we will subtract 3 from both sides of the equation to eliminate the constant term on the left side.
$-2x + 3 - 3 = -15 - 3$

STEP 3

Perform the subtraction on both sides of the equation.
$-2x = -18$

STEP 4

Now, we need to solve for $x$ by getting rid of the coefficient -2. We do this by dividing both sides of the equation by -2.
$\frac{-2x}{-2} = \frac{-18}{-2}$

STEP 5

Perform the division on both sides of the equation.
$x = 9$
The value of $x$ that makes the equation $-2x + 3 = -15$ true is $x = 9$ .

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Question Find the value of xxx that satisfies the equation −2x+3=−15-2x + 3 = -15−2x+3=−15.

Studdy Solution

STEP 1

Assumptions1. We are given the linear equation −2x+3=−15-2x + 3 = -15−2x+3=−15.2. We need to solve for the variable xxx.

STEP 2

Start by isolating the term containing xxx on one side of the equation. To do this, we will subtract 3 from both sides of the equation to eliminate the constant term on the left side.−2x+3−3=−15−3-2x + 3 - 3 = -15 - 3−2x+3−3=−15−3

STEP 3

Perform the subtraction on both sides of the equation.−2x=−18-2x = -18−2x=−18

STEP 4

Now, we need to solve for xxx by getting rid of the coefficient -2. We do this by dividing both sides of the equation by -2.−2x−2=−18−2\frac{-2x}{-2} = \frac{-18}{-2}−2−2x​=−2−18​

STEP 5

Perform the division on both sides of the equation.x=9x = 9x=9The value of xxx that makes the equation −2x+3=−15-2x + 3 = -15−2x+3=−15 true is x=9x = 9x=9.

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Question Find the value of $x$ that satisfies the equation $-2x + 3 = -15$ .

Assumptions
1. We are given the linear equation $-2x + 3 = -15$ .
2. We need to solve for the variable $x$ .

Start by isolating the term containing $x$ on one side of the equation. To do this, we will subtract 3 from both sides of the equation to eliminate the constant term on the left side.
$-2x + 3 - 3 = -15 - 3$

Perform the subtraction on both sides of the equation.
$-2x = -18$

Now, we need to solve for $x$ by getting rid of the coefficient -2. We do this by dividing both sides of the equation by -2.
$\frac{-2x}{-2} = \frac{-18}{-2}$

Perform the division on both sides of the equation.
$x = 9$
The value of $x$ that makes the equation $-2x + 3 = -15$ true is $x = 9$ .