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

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

Solve for x

$$x = -\frac{23}{5} = -4\frac{3}{5} = -4.6$$

Steps for Solving Linear Equation

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

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

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

$$2x+8=-3x-15$$

Add 3x to both sides.

$$2x+8+3x=-15$$

Combine 2x and 3x to get 5x.

$$5x+8=-15$$

Subtract 8 from both sides.

$$5x=-15-8$$

Subtract 8 from -15 to get -23.

$$5x=-23$$

Divide both sides by 5.

$$x=\frac{-23}{5}$$

Fraction \frac{-23}{5} can be rewritten as -\frac{23}{5} by extracting the negative sign.

$$x=-\frac{23}{5}$$