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

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

Solve for x

$$x = \frac{26}{25} = 1\frac{1}{25} = 1.04$$

Steps for Solving Linear Equation

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

$$6\left(3x-1\right)-4\left(2-x\right)=12-3x$$

Use the distributive property to multiply 6 by 3x-1.

$$18x-6-4\left(2-x\right)=12-3x$$

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

$$18x-6-8+4x=12-3x$$

Subtract 8 from -6 to get -14.

$$18x-14+4x=12-3x$$

Combine 18x and 4x to get 22x.

$$22x-14=12-3x$$

Add 3x to both sides.

$$22x-14+3x=12$$

Combine 22x and 3x to get 25x.

$$25x-14=12$$

Add 14 to both sides.

$$25x=12+14$$

Add 12 and 14 to get 26.

$$25x=26$$

Divide both sides by 25.

$$x=\frac{26}{25}$$