Solve (x-10)-0.25(x-10)=36.27

$$(x-10)-0.25(x-10)=36.27$$

Solve for x

$$x=58.36$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.25 by x-10.

$$x-10-0.25x+2.5=36.27$$

Combine x and -0.25x to get 0.75x.

$$0.75x-10+2.5=36.27$$

Add -10 and 2.5 to get -7.5.

$$0.75x-7.5=36.27$$

Add 7.5 to both sides.

$$0.75x=36.27+7.5$$

Add 36.27 and 7.5 to get 43.77.

$$0.75x=43.77$$

Divide both sides by 0.75.

$$x=\frac{43.77}{0.75}$$

Expand \frac{43.77}{0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{4377}{75}$$

Reduce the fraction \frac{4377}{75} to lowest terms by extracting and canceling out 3.

$$x=\frac{1459}{25}$$