Solve 3(x+2)=-10-2(x-3)

$$3 ( x + 2 ) = - 10 - 2 ( x - 3 )$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$3x+6=-10-2\left(x-3\right)$$

Use the distributive property to multiply -2 by x-3.

$$3x+6=-10-2x+6$$

Add -10 and 6 to get -4.

$$3x+6=-4-2x$$

Add 2x to both sides.

$$3x+6+2x=-4$$

Combine 3x and 2x to get 5x.

$$5x+6=-4$$

Subtract 6 from both sides.

$$5x=-4-6$$

Subtract 6 from -4 to get -10.

$$5x=-10$$

Divide both sides by 5.

$$x=\frac{-10}{5}$$

Divide -10 by 5 to get -2.

$$x=-2$$