Solve .5(2s-1)+3=3(3s+2)

$$.5 ( 2 s - 1 ) + 3 = 3 ( 3 s + 2 )$$

Solve for s

$$s=-0.4375$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.5 by 2s-1.

$$s-0.5+3=3\left(3s+2\right)$$

Add -0.5 and 3 to get 2.5.

$$s+2.5=3\left(3s+2\right)$$

Use the distributive property to multiply 3 by 3s+2.

$$s+2.5=9s+6$$

Subtract 9s from both sides.

$$s+2.5-9s=6$$

Combine s and -9s to get -8s.

$$-8s+2.5=6$$

Subtract 2.5 from both sides.

$$-8s=6-2.5$$

Subtract 2.5 from 6 to get 3.5.

$$-8s=3.5$$

Divide both sides by -8.

$$s=\frac{3.5}{-8}$$

Expand \frac{3.5}{-8} by multiplying both numerator and the denominator by 10.

$$s=\frac{35}{-80}$$

Reduce the fraction \frac{35}{-80} to lowest terms by extracting and canceling out 5.

$$s=-\frac{7}{16}$$