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

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

Solve for x

$$x = -\frac{22}{9} = -2\frac{4}{9} \approx -2.444444444$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x+5.

$$6x+10=-3\left(x+4\right)$$

Use the distributive property to multiply -3 by x+4.

$$6x+10=-3x-12$$

Add 3x to both sides.

$$6x+10+3x=-12$$

Combine 6x and 3x to get 9x.

$$9x+10=-12$$

Subtract 10 from both sides.

$$9x=-12-10$$

Subtract 10 from -12 to get -22.

$$9x=-22$$

Divide both sides by 9.

$$x=\frac{-22}{9}$$

Fraction \frac{-22}{9} can be rewritten as -\frac{22}{9} by extracting the negative sign.

$$x=-\frac{22}{9}$$