Solve .8(2s+3)=-0.6(5s-2)

$$.8 ( 2 s + 3 ) = - 0.6 ( 5 s - 2 )$$

Solve for s

$$s=-\frac{6}{23}\approx -0.260869565$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.8 by 2s+3.

$$1.6s+2.4=-0.6\left(5s-2\right)$$

Use the distributive property to multiply -0.6 by 5s-2.

$$1.6s+2.4=-3s+1.2$$

Add 3s to both sides.

$$1.6s+2.4+3s=1.2$$

Combine 1.6s and 3s to get 4.6s.

$$4.6s+2.4=1.2$$

Subtract 2.4 from both sides.

$$4.6s=1.2-2.4$$

Subtract 2.4 from 1.2 to get -1.2.

$$4.6s=-1.2$$

Divide both sides by 4.6.

$$s=\frac{-1.2}{4.6}$$

Expand \frac{-1.2}{4.6} by multiplying both numerator and the denominator by 10.

$$s=\frac{-12}{46}$$

Reduce the fraction \frac{-12}{46} to lowest terms by extracting and canceling out 2.

$$s=-\frac{6}{23}$$