Solve 2x-(x-2)-2(10-x)=3(1-x)-2x-6

$$2 x - ( x - 2 ) - 2 ( 10 - x ) = 3 ( 1 - x ) - 2 x - 6$$

Solve for x

$$x = \frac{15}{8} = 1\frac{7}{8} = 1.875$$

Steps for Solving Linear Equation

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

$$2x-x-\left(-2\right)-2\left(10-x\right)=3\left(1-x\right)-2x-6$$

The opposite of -2 is 2.

$$2x-x+2-2\left(10-x\right)=3\left(1-x\right)-2x-6$$

Combine 2x and -x to get x.

$$x+2-2\left(10-x\right)=3\left(1-x\right)-2x-6$$

Use the distributive property to multiply -2 by 10-x.

$$x+2-20+2x=3\left(1-x\right)-2x-6$$

Subtract 20 from 2 to get -18.

$$x-18+2x=3\left(1-x\right)-2x-6$$

Combine x and 2x to get 3x.

$$3x-18=3\left(1-x\right)-2x-6$$

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

$$3x-18=3-3x-2x-6$$

Combine -3x and -2x to get -5x.

$$3x-18=3-5x-6$$

Subtract 6 from 3 to get -3.

$$3x-18=-3-5x$$

Add 5x to both sides.

$$3x-18+5x=-3$$

Combine 3x and 5x to get 8x.

$$8x-18=-3$$

Add 18 to both sides.

$$8x=-3+18$$

Add -3 and 18 to get 15.

$$8x=15$$

Divide both sides by 8.

$$x=\frac{15}{8}$$