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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-2x by 1-3x and combine like terms.

$$1-5x+6x^{2}=\left(6x-1\right)x-1$$

Use the distributive property to multiply 6x-1 by x.

$$1-5x+6x^{2}=6x^{2}-x-1$$

Subtract 6x^{2} from both sides.

$$1-5x+6x^{2}-6x^{2}=-x-1$$

Combine 6x^{2} and -6x^{2} to get 0.

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

Add x to both sides.

$$1-5x+x=-1$$

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

$$1-4x=-1$$

Subtract 1 from both sides.

$$-4x=-1-1$$

Subtract 1 from -1 to get -2.

$$-4x=-2$$

Divide both sides by -4.

$$x=\frac{-2}{-4}$$

Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{1}{2}$$