Solve 5(x+3)-3(x+2)=0

$$5 ( x + 3 ) - 3 ( x + 2 ) = 0$$

Solve for x

$$x = -\frac{9}{2} = -4\frac{1}{2} = -4.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x+3.

$$5x+15-3\left(x+2\right)=0$$

Use the distributive property to multiply -3 by x+2.

$$5x+15-3x-6=0$$

Combine 5x and -3x to get 2x.

$$2x+15-6=0$$

Subtract 6 from 15 to get 9.

$$2x+9=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$2x=-9$$

Divide both sides by 2.

$$x=\frac{-9}{2}$$

Fraction \frac{-9}{2} can be rewritten as -\frac{9}{2} by extracting the negative sign.

$$x=-\frac{9}{2}$$