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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+4.

$$3x+2-5x-20=2\left(x-5\right)$$

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

$$-2x+2-20=2\left(x-5\right)$$

Subtract 20 from 2 to get -18.

$$-2x-18=2\left(x-5\right)$$

Use the distributive property to multiply 2 by x-5.

$$-2x-18=2x-10$$

Subtract 2x from both sides.

$$-2x-18-2x=-10$$

Combine -2x and -2x to get -4x.

$$-4x-18=-10$$

Add 18 to both sides.

$$-4x=-10+18$$

Add -10 and 18 to get 8.

$$-4x=8$$

Divide both sides by -4.

$$x=\frac{8}{-4}$$

Divide 8 by -4 to get -2.

$$x=-2$$