Solve 3(x-2)+5(x+1)=-2(x+4)+5

$$3 ( x - 2 ) + 5 ( x + 1 ) = - 2 ( x + 4 ) + 5$$

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

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

$$3x-6+5\left(x+1\right)=-2\left(x+4\right)+5$$

Use the distributive property to multiply 5 by x+1.

$$3x-6+5x+5=-2\left(x+4\right)+5$$

Combine 3x and 5x to get 8x.

$$8x-6+5=-2\left(x+4\right)+5$$

Add -6 and 5 to get -1.

$$8x-1=-2\left(x+4\right)+5$$

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

$$8x-1=-2x-8+5$$

Add -8 and 5 to get -3.

$$8x-1=-2x-3$$

Add 2x to both sides.

$$8x-1+2x=-3$$

Combine 8x and 2x to get 10x.

$$10x-1=-3$$

Add 1 to both sides.

$$10x=-3+1$$

Add -3 and 1 to get -2.

$$10x=-2$$

Divide both sides by 10.

$$x=\frac{-2}{10}$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{5}$$