Solve 3x-2/2-4x-3/4=3x+1/8

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 4 by 3x-2.

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

Use the distributive property to multiply -2 by 4x-3.

$$12x-8-8x+6=3x+1$$

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

$$4x-8+6=3x+1$$

Add -8 and 6 to get -2.

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

Subtract 3x from both sides.

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

Combine 4x and -3x to get x.

$$x-2=1$$

Add 2 to both sides.

$$x=1+2$$

Add 1 and 2 to get 3.

$$x=3$$