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

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

Solve for x

$$x=-\frac{4}{9}\approx -0.444444444$$

Steps for Solving Linear Equation

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

$$2-2x-3\left(2x-1\right)-\left(1+x\right)=8$$

Use the distributive property to multiply -3 by 2x-1.

$$2-2x-6x+3-\left(1+x\right)=8$$

Combine -2x and -6x to get -8x.

$$2-8x+3-\left(1+x\right)=8$$

Add 2 and 3 to get 5.

$$5-8x-\left(1+x\right)=8$$

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

$$5-8x-1-x=8$$

Subtract 1 from 5 to get 4.

$$4-8x-x=8$$

Combine -8x and -x to get -9x.

$$4-9x=8$$

Subtract 4 from both sides.

$$-9x=8-4$$

Subtract 4 from 8 to get 4.

$$-9x=4$$

Divide both sides by -9.

$$x=\frac{4}{-9}$$

Fraction \frac{4}{-9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$x=-\frac{4}{9}$$