Solve (x-2)/4-(3x-1)/8=x/2

$$\frac { ( x - 2 ) } { 4 } - \frac { ( 3 x - 1 ) } { 8 } = \frac { x } { 2 }$$

Solve for x

$$x=-\frac{3}{5}=-0.6$$

Steps for Solving Linear Equation

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

$$2\left(x-2\right)-\left(3x-1\right)=4x$$

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

$$2x-4-\left(3x-1\right)=4x$$

To find the opposite of 3x-1, find the opposite of each term.

$$2x-4-3x-\left(-1\right)=4x$$

The opposite of -1 is 1.

$$2x-4-3x+1=4x$$

Combine 2x and -3x to get -x.

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

Add -4 and 1 to get -3.

$$-x-3=4x$$

Subtract 4x from both sides.

$$-x-3-4x=0$$

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

$$-5x-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-5x=3$$

Divide both sides by -5.

$$x=\frac{3}{-5}$$

Fraction \frac{3}{-5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$x=-\frac{3}{5}$$