Solve 5(x+3)-7(x+2)=0

$$5 ( x + 3 ) - 7 ( x + 2 ) = 0$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

$$5x+15-7\left(x+2\right)=0$$

Use the distributive property to multiply -7 by x+2.

$$5x+15-7x-14=0$$

Combine 5x and -7x to get -2x.

$$-2x+15-14=0$$

Subtract 14 from 15 to get 1.

$$-2x+1=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-1$$

Divide both sides by -2.

$$x=\frac{-1}{-2}$$

Fraction \frac{-1}{-2} can be simplified to \frac{1}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{2}$$