Solve x/4-(x-5)/2=x-1/8

$$\frac { x } { 4 } - \frac { ( x - 5 ) } { 2 } = x - \frac { 1 } { 8 }$$

Solve for x

$$x = \frac{21}{10} = 2\frac{1}{10} = 2.1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,2,8.

$$2x-4\left(x-5\right)=8x-1$$

Use the distributive property to multiply -4 by x-5.

$$2x-4x+20=8x-1$$

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

$$-2x+20=8x-1$$

Subtract 8x from both sides.

$$-2x+20-8x=-1$$

Combine -2x and -8x to get -10x.

$$-10x+20=-1$$

Subtract 20 from both sides.

$$-10x=-1-20$$

Subtract 20 from -1 to get -21.

$$-10x=-21$$

Divide both sides by -10.

$$x=\frac{-21}{-10}$$

Fraction \frac{-21}{-10} can be simplified to \frac{21}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{21}{10}$$