Solve 12-3(x-1)=2(x-2)-(x+5)

$$12-3(x-1)=2(x-2)-(x+5)$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$12-3x+3=2\left(x-2\right)-\left(x+5\right)$$

Add 12 and 3 to get 15.

$$15-3x=2\left(x-2\right)-\left(x+5\right)$$

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

$$15-3x=2x-4-\left(x+5\right)$$

To find the opposite of x+5, find the opposite of each term.

$$15-3x=2x-4-x-5$$

Combine 2x and -x to get x.

$$15-3x=x-4-5$$

Subtract 5 from -4 to get -9.

$$15-3x=x-9$$

Subtract x from both sides.

$$15-3x-x=-9$$

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

$$15-4x=-9$$

Subtract 15 from both sides.

$$-4x=-9-15$$

Subtract 15 from -9 to get -24.

$$-4x=-24$$

Divide both sides by -4.

$$x=\frac{-24}{-4}$$

Divide -24 by -4 to get 6.

$$x=6$$