Solve x-1/3-2x+1/4=x/2

$$\frac { x - 1 } { 3 } - \frac { 2 x + 1 } { 4 } = \frac { x } { 2 }$$

Solve for x

$$x=-\frac{7}{8}=-0.875$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,2.

$$4\left(x-1\right)-3\left(2x+1\right)=6x$$

Use the distributive property to multiply 4 by x-1.

$$4x-4-3\left(2x+1\right)=6x$$

Use the distributive property to multiply -3 by 2x+1.

$$4x-4-6x-3=6x$$

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

$$-2x-4-3=6x$$

Subtract 3 from -4 to get -7.

$$-2x-7=6x$$

Subtract 6x from both sides.

$$-2x-7-6x=0$$

Combine -2x and -6x to get -8x.

$$-8x-7=0$$

Add 7 to both sides. Anything plus zero gives itself.

$$-8x=7$$

Divide both sides by -8.

$$x=\frac{7}{-8}$$

Fraction \frac{7}{-8} can be rewritten as -\frac{7}{8} by extracting the negative sign.

$$x=-\frac{7}{8}$$