Solve 1/4-1/2(x-2)=2-1-2x/2+1/4

$$\frac { 1 } { 4 } - \frac { 1 } { 2 } ( x - 2 ) = 2 - \frac { 1 - 2 x } { 2 } + \frac { 1 } { 4 }$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

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

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

$$1-2x+4=8-2\left(1-2x\right)+1$$

Add 1 and 4 to get 5.

$$5-2x=8-2\left(1-2x\right)+1$$

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

$$5-2x=8-2+4x+1$$

Subtract 2 from 8 to get 6.

$$5-2x=6+4x+1$$

Add 6 and 1 to get 7.

$$5-2x=7+4x$$

Subtract 4x from both sides.

$$5-2x-4x=7$$

Combine -2x and -4x to get -6x.

$$5-6x=7$$

Subtract 5 from both sides.

$$-6x=7-5$$

Subtract 5 from 7 to get 2.

$$-6x=2$$

Divide both sides by -6.

$$x=\frac{2}{-6}$$

Reduce the fraction \frac{2}{-6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{3}$$