Solve 10-1/2x-(2x-2/2)=1/4x

$$10 - \frac { 1 } { 2 } x - ( \frac { 2 x - 2 } { 2 } ) = \frac { 1 } { 4 } x$$

Solve for x

$$x = \frac{44}{7} = 6\frac{2}{7} \approx 6.285714286$$

Steps for Solving Linear Equation

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

$$40-2x-2\left(2x-2\right)=1x$$

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

$$40-2x-4x+4=1x$$

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

$$40-6x+4=1x$$

Add 40 and 4 to get 44.

$$44-6x=1x$$

Subtract 1x from both sides.

$$44-6x-x=0$$

Combine -6x and -x to get -7x.

$$44-7x=0$$

Subtract 44 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-44$$

Divide both sides by -7.

$$x=\frac{-44}{-7}$$

Fraction \frac{-44}{-7} can be simplified to \frac{44}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{44}{7}$$