Solve 2(x-1)-(x-4)=3(x+8)

$$2 ( x - 1 ) - ( x - 4 ) = 3 ( x + 8 )$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-1.

$$2x-2-\left(x-4\right)=3\left(x+8\right)$$

To find the opposite of x-4, find the opposite of each term.

$$2x-2-x-\left(-4\right)=3\left(x+8\right)$$

The opposite of -4 is 4.

$$2x-2-x+4=3\left(x+8\right)$$

Combine 2x and -x to get x.

$$x-2+4=3\left(x+8\right)$$

Add -2 and 4 to get 2.

$$x+2=3\left(x+8\right)$$

Use the distributive property to multiply 3 by x+8.

$$x+2=3x+24$$

Subtract 3x from both sides.

$$x+2-3x=24$$

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

$$-2x+2=24$$

Subtract 2 from both sides.

$$-2x=24-2$$

Subtract 2 from 24 to get 22.

$$-2x=22$$

Divide both sides by -2.

$$x=\frac{22}{-2}$$

Divide 22 by -2 to get -11.

$$x=-11$$