QuestionSolve for $x$ in the equation $2 x - 3 = -7$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $x -3 = -7$ . We are solving for the variable $x$

STEP 2

The first step to solve the equation is to isolate the term with the variable $x$ on one side of the equation. We can do this by adding $$ to both sides of the equation.
$2x - + = -7 +$

STEP 3

Perform the addition on both sides of the equation.
$2x = -7 +3$

STEP 4

implify the right side of the equation.
$2x = -4$

STEP 5

Now, to solve for $x$ , we need to get rid of the coefficient of $x$ on the left side of the equation. We can do this by dividing both sides of the equation by $2$ .
$\frac{2x}{2} = \frac{-4}{2}$

STEP 6

Perform the division on both sides of the equation.
$x = \frac{-4}{2}$

STEP 7

implify the right side of the equation.
$x = -2$ So, the solution to the equation $2x -3 = -7$ is $x = -2$ .

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QuestionSolve for $x$ in the equation $2 x - 3 = -7$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $x -3 = -7$ . We are solving for the variable $x$

STEP 2

The first step to solve the equation is to isolate the term with the variable $x$ on one side of the equation. We can do this by adding $$ to both sides of the equation.
$2x - + = -7 +$

STEP 3

Perform the addition on both sides of the equation.
$2x = -7 +3$

STEP 4

implify the right side of the equation.
$2x = -4$

STEP 5

Now, to solve for $x$ , we need to get rid of the coefficient of $x$ on the left side of the equation. We can do this by dividing both sides of the equation by $2$ .
$\frac{2x}{2} = \frac{-4}{2}$

STEP 6

Perform the division on both sides of the equation.
$x = \frac{-4}{2}$

STEP 7

implify the right side of the equation.
$x = -2$ So, the solution to the equation $2x -3 = -7$ is $x = -2$ .

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QuestionSolve for xxx in the equation 2x−3=−72 x - 3 = -72x−3=−7.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is x−3=−7x -3 = -7x−3=−7 . We are solving for the variable xxx

STEP 2

The first step to solve the equation is to isolate the term with the variable xxx on one side of the equation. We can do this by adding $$ to both sides of the equation.2x−+=−7+2x - + = -7 +2x−+=−7+

STEP 3

Perform the addition on both sides of the equation.2x=−7+32x = -7 +32x=−7+3

STEP 4

implify the right side of the equation.2x=−42x = -42x=−4

STEP 5

Now, to solve for xxx, we need to get rid of the coefficient of xxx on the left side of the equation. We can do this by dividing both sides of the equation by 222.2x2=−42\frac{2x}{2} = \frac{-4}{2}22x​=2−4​

STEP 6

Perform the division on both sides of the equation.x=−42x = \frac{-4}{2}x=2−4​

STEP 7

implify the right side of the equation.x=−2x = -2x=−2So, the solution to the equation 2x−3=−72x -3 = -72x−3=−7 is x=−2x = -2x=−2.

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QuestionSolve for $x$ in the equation $2 x - 3 = -7$ .

Assumptions1. The equation to solve is $x -3 = -7$ . We are solving for the variable $x$

The first step to solve the equation is to isolate the term with the variable $x$ on one side of the equation. We can do this by adding $$ to both sides of the equation.
$2x - + = -7 +$

Perform the addition on both sides of the equation.
$2x = -7 +3$

implify the right side of the equation.
$2x = -4$

Now, to solve for $x$ , we need to get rid of the coefficient of $x$ on the left side of the equation. We can do this by dividing both sides of the equation by $2$ .
$\frac{2x}{2} = \frac{-4}{2}$

Perform the division on both sides of the equation.
$x = \frac{-4}{2}$

implify the right side of the equation.
$x = -2$ So, the solution to the equation $2x -3 = -7$ is $x = -2$ .