Solve 2(x+4)-5(x-3)=0

$$2(x+4)-5(x-3)=0$$

Solve for x

$$x = \frac{23}{3} = 7\frac{2}{3} \approx 7.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+4.

$$2x+8-5\left(x-3\right)=0$$

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

$$2x+8-5x+15=0$$

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

$$-3x+8+15=0$$

Add 8 and 15 to get 23.

$$-3x+23=0$$

Subtract 23 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-23$$

Divide both sides by -3.

$$x=\frac{-23}{-3}$$

Fraction \frac{-23}{-3} can be simplified to \frac{23}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{3}$$