Solve (2x-3/4)-(2-x)=(x-3)

$$( \frac { 2 x - 3 } { 4 } ) - ( 2 - x ) = ( x - 3 )$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$2x-3-4\left(2-x\right)=4x-12$$

Use the distributive property to multiply -4 by 2-x.

$$2x-3-8+4x=4x-12$$

Subtract 8 from -3 to get -11.

$$2x-11+4x=4x-12$$

Combine 2x and 4x to get 6x.

$$6x-11=4x-12$$

Subtract 4x from both sides.

$$6x-11-4x=-12$$

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

$$2x-11=-12$$

Add 11 to both sides.

$$2x=-12+11$$

Add -12 and 11 to get -1.

$$2x=-1$$

Divide both sides by 2.

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

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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