Solved on Nov 02, 2023

Solve the linear equation $-x+7=-6$ for the unknown variable $x$ .

STEP 1

Assumptions1. We are solving the equation for the variable x. . The equation is a linear equation of the form $ax + b = c$ .

STEP 2

The given equation is $-x +7 = -6$ . Our goal is to isolate the variable x on one side of the equation.

STEP 3

First, we will subtract7 from both sides of the equation to keep the equation balanced.
$-x +7 -7 = -6 -7$

STEP 4

implify the equation.
$-x = -6 -7$

STEP 5

Calculate the right side of the equation.
$-x = -13$

STEP 6

To solve for x, we need to get rid of the negative sign in front of x. We can do this by multiplying both sides of the equation by -1.
$-1 \times -x = -1 \times -13$

STEP 7

implify the equation.
$x =13$ So, the solution to the equation $-x +7 = -6$ is $x =13$ .

Was this helpful?

Solve the linear equation $-x+7=-6$ for the unknown variable $x$ .

STEP 1

Assumptions1. We are solving the equation for the variable x. . The equation is a linear equation of the form $ax + b = c$ .

STEP 2

The given equation is $-x +7 = -6$ . Our goal is to isolate the variable x on one side of the equation.

STEP 3

First, we will subtract7 from both sides of the equation to keep the equation balanced.
$-x +7 -7 = -6 -7$

STEP 4

implify the equation.
$-x = -6 -7$

STEP 5

Calculate the right side of the equation.
$-x = -13$

STEP 6

To solve for x, we need to get rid of the negative sign in front of x. We can do this by multiplying both sides of the equation by -1.
$-1 \times -x = -1 \times -13$

STEP 7

implify the equation.
$x =13$ So, the solution to the equation $-x +7 = -6$ is $x =13$ .

Start learning now

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

Solve the linear equation −x+7=−6-x+7=-6−x+7=−6 for the unknown variable xxx.

STEP 1

Assumptions1. We are solving the equation for the variable x. . The equation is a linear equation of the form ax+b=cax + b = cax+b=c.

STEP 2

The given equation is −x+7=−6-x +7 = -6−x+7=−6. Our goal is to isolate the variable x on one side of the equation.

STEP 3

First, we will subtract7 from both sides of the equation to keep the equation balanced.−x+7−7=−6−7-x +7 -7 = -6 -7−x+7−7=−6−7

STEP 4

implify the equation.−x=−6−7-x = -6 -7−x=−6−7

STEP 5

Calculate the right side of the equation.−x=−13-x = -13−x=−13

STEP 6

To solve for x, we need to get rid of the negative sign in front of x. We can do this by multiplying both sides of the equation by -1.−1×−x=−1×−13-1 \times -x = -1 \times -13−1×−x=−1×−13

STEP 7

implify the equation.x=13x =13x=13So, the solution to the equation −x+7=−6-x +7 = -6−x+7=−6 is x=13x =13x=13.

Start learning now

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

Solve the linear equation $-x+7=-6$ for the unknown variable $x$ .

Assumptions1. We are solving the equation for the variable x. . The equation is a linear equation of the form $ax + b = c$ .

The given equation is $-x +7 = -6$ . Our goal is to isolate the variable x on one side of the equation.

First, we will subtract7 from both sides of the equation to keep the equation balanced.
$-x +7 -7 = -6 -7$

implify the equation.
$-x = -6 -7$

Calculate the right side of the equation.
$-x = -13$

To solve for x, we need to get rid of the negative sign in front of x. We can do this by multiplying both sides of the equation by -1.
$-1 \times -x = -1 \times -13$

implify the equation.
$x =13$ So, the solution to the equation $-x +7 = -6$ is $x =13$ .