Solve 0.25(4x-3)=0.5x-9

$$0.25(4x-3)=0.5x-9$$

Solve for x

$$x=-16.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.25 by 4x-3.

$$x-0.75=0.5x-9$$

Subtract 0.5x from both sides.

$$x-0.75-0.5x=-9$$

Combine x and -0.5x to get 0.5x.

$$0.5x-0.75=-9$$

Add 0.75 to both sides.

$$0.5x=-9+0.75$$

Add -9 and 0.75 to get -8.25.

$$0.5x=-8.25$$

Divide both sides by 0.5.

$$x=\frac{-8.25}{0.5}$$

Expand \frac{-8.25}{0.5} by multiplying both numerator and the denominator by 100.

$$x=\frac{-825}{50}$$

Reduce the fraction \frac{-825}{50} to lowest terms by extracting and canceling out 25.

$$x=-\frac{33}{2}$$