Math

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

Studdy Solution

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 = c.

STEP 2

The given equation is 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+77=67-x +7 -7 = -6 -7

STEP 4

implify the equation.
x=67-x = -6 -7

STEP 5

Calculate the right side of the equation.
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

STEP 7

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

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