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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

To find the opposite of x+2, find the opposite of each term.

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

Add -2 and 5 to get 3.

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

Use the distributive property to multiply 3 by x-1.

$$-x+3=3x-3+2$$

Add -3 and 2 to get -1.

$$-x+3=3x-1$$

Subtract 3x from both sides.

$$-x+3-3x=-1$$

Combine -x and -3x to get -4x.

$$-4x+3=-1$$

Subtract 3 from both sides.

$$-4x=-1-3$$

Subtract 3 from -1 to get -4.

$$-4x=-4$$

Divide both sides by -4.

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

Divide -4 by -4 to get 1.

$$x=1$$