Solve the equation below for X 5(x+1)=-25

x = -6

Step-by-step explanation:

Let's solve your equation step-by-step.

5(x+1) = −25

Step 1: Simplify both sides of the equation.

5(x+1) = −25

(5)(x) + (5)(1)=−25(Distribute)

5x+5=−25

Step 2: Subtract 5 from both sides.

5x+5−5=−25−5

5x=−30

Step 3: Divide both sides by 5.

5x/5 = -30/5

x = -6

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: