Solve 8=4.44(x-7)

$$8 = 4.44 ( x - 7 )$$

Solve for x

$$x = \frac{977}{111} = 8\frac{89}{111} \approx 8.801801802$$

Steps for Solving Linear Equation

Divide both sides by 4.44.

$$\frac{8}{4.44}=x-7$$

Expand \frac{8}{4.44} by multiplying both numerator and the denominator by 100.

$$\frac{800}{444}=x-7$$

Reduce the fraction \frac{800}{444} to lowest terms by extracting and canceling out 4.

$$\frac{200}{111}=x-7$$

Swap sides so that all variable terms are on the left hand side.

$$x-7=\frac{200}{111}$$

Add 7 to both sides.

$$x=\frac{200}{111}+7$$

Convert 7 to fraction \frac{777}{111}.

$$x=\frac{200}{111}+\frac{777}{111}$$

Since \frac{200}{111} and \frac{777}{111} have the same denominator, add them by adding their numerators.

$$x=\frac{200+777}{111}$$

Add 200 and 777 to get 977.

$$x=\frac{977}{111}$$