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

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

Solve for x

$$x=8$$

Steps for Solving Linear Equation

To find the opposite of x+1, find the opposite of each term.

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

Combine 2x and -x to get x.

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

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

$$x-1=-2+3x-15$$

Subtract 15 from -2 to get -17.

$$x-1=-17+3x$$

Subtract 3x from both sides.

$$x-1-3x=-17$$

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

$$-2x-1=-17$$

Add 1 to both sides.

$$-2x=-17+1$$

Add -17 and 1 to get -16.

$$-2x=-16$$

Divide both sides by -2.

$$x=\frac{-16}{-2}$$

Divide -16 by -2 to get 8.

$$x=8$$