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

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

Solve for x

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

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)-12x=3\left(2x+1\right)-12$$

Use the distributive property to multiply 4 by 2x-1.

$$8x-4-12x=3\left(2x+1\right)-12$$

Combine 8x and -12x to get -4x.

$$-4x-4=3\left(2x+1\right)-12$$

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

$$-4x-4=6x+3-12$$

Subtract 12 from 3 to get -9.

$$-4x-4=6x-9$$

Subtract 6x from both sides.

$$-4x-4-6x=-9$$

Combine -4x and -6x to get -10x.

$$-10x-4=-9$$

Add 4 to both sides.

$$-10x=-9+4$$

Add -9 and 4 to get -5.

$$-10x=-5$$

Divide both sides by -10.

$$x=\frac{-5}{-10}$$

Reduce the fraction \frac{-5}{-10} to lowest terms by extracting and canceling out -5.

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