Solve 10.25(4a-3)=0.5a-9

$$10.25 ( 4 a - 3 ) = 0.5 a - 9$$

Solve for a

$$a=\frac{29}{54}\approx 0.537037037$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10.25 by 4a-3.

$$41a-30.75=0.5a-9$$

Subtract 0.5a from both sides.

$$41a-30.75-0.5a=-9$$

Combine 41a and -0.5a to get 40.5a.

$$40.5a-30.75=-9$$

Add 30.75 to both sides.

$$40.5a=-9+30.75$$

Add -9 and 30.75 to get 21.75.

$$40.5a=21.75$$

Divide both sides by 40.5.

$$a=\frac{21.75}{40.5}$$

Expand \frac{21.75}{40.5} by multiplying both numerator and the denominator by 100.

$$a=\frac{2175}{4050}$$

Reduce the fraction \frac{2175}{4050} to lowest terms by extracting and canceling out 75.

$$a=\frac{29}{54}$$