Solve left(x+4right)*left(x+3right)=xleft(x+12right)

$$\left( x+4 \right) \times \left( x+3 \right) =x \left( x+12 \right)$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+4 by x+3 and combine like terms.

$$x^{2}+7x+12=x\left(x+12\right)$$

Use the distributive property to multiply x by x+12.

$$x^{2}+7x+12=x^{2}+12x$$

Subtract x^{2} from both sides.

$$x^{2}+7x+12-x^{2}=12x$$

Combine x^{2} and -x^{2} to get 0.

$$7x+12=12x$$

Subtract 12x from both sides.

$$7x+12-12x=0$$

Combine 7x and -12x to get -5x.

$$-5x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-5x=-12$$

Divide both sides by -5.

$$x=\frac{-12}{-5}$$

Fraction \frac{-12}{-5} can be simplified to \frac{12}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{5}$$