Solve for: 5x+18=-2+3x

Solve for x: $x=\frac{4}{5}=0.8$

Combine $7x$ and $x$ to get $8x$.

$$8x-3=5-2x$$

Add $2x$ to both sides.

$$8x-3+2x=5$$

Combine $8x$ and $2x$ to get $10x$.

$$10x-3=5$$

Add $3$ to both sides.

$$10x=5+3$$

Add $5$ and $3$ to get $8$.

$$10x=8$$

Divide both sides by $10$.

$$x=\frac{8}{10}$$

Reduce the fraction $\frac{8}{10}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{4}{5}$$