Solve 2-xleft(3x-2left(x-2right)right)=1-left(x+1right)left(x-2right)

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

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

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

$$2-x\left(3x-2x+4\right)=1-\left(x+1\right)\left(x-2\right)$$

Combine 3x and -2x to get x.

$$2-x\left(x+4\right)=1-\left(x+1\right)\left(x-2\right)$$

Use the distributive property to multiply x by x+4.

$$2-\left(x^{2}+4x\right)=1-\left(x+1\right)\left(x-2\right)$$

To find the opposite of x^{2}+4x, find the opposite of each term.

$$2-x^{2}-4x=1-\left(x+1\right)\left(x-2\right)$$

Use the distributive property to multiply x+1 by x-2 and combine like terms.

$$2-x^{2}-4x=1-\left(x^{2}-x-2\right)$$

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

$$2-x^{2}-4x=1-x^{2}+x+2$$

Add 1 and 2 to get 3.

$$2-x^{2}-4x=3-x^{2}+x$$

Add x^{2} to both sides.

$$2-x^{2}-4x+x^{2}=3+x$$

Combine -x^{2} and x^{2} to get 0.

$$2-4x=3+x$$

Subtract x from both sides.

$$2-4x-x=3$$

Combine -4x and -x to get -5x.

$$2-5x=3$$

Subtract 2 from both sides.

$$-5x=3-2$$

Subtract 2 from 3 to get 1.

$$-5x=1$$

Divide both sides by -5.

$$x=\frac{1}{-5}$$

Fraction \frac{1}{-5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$x=-\frac{1}{5}$$