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

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

Solve for x

$$x = \frac{23}{21} = 1\frac{2}{21} \approx 1.095238095$$

Steps for Solving Linear Equation

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

$$16x-\left(x+1\right)=24-2\left(3x+1\right)$$

To find the opposite of x+1, find the opposite of each term.

$$16x-x-1=24-2\left(3x+1\right)$$

Combine 16x and -x to get 15x.

$$15x-1=24-2\left(3x+1\right)$$

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

$$15x-1=24-6x-2$$

Subtract 2 from 24 to get 22.

$$15x-1=22-6x$$

Add 6x to both sides.

$$15x-1+6x=22$$

Combine 15x and 6x to get 21x.

$$21x-1=22$$

Add 1 to both sides.

$$21x=22+1$$

Add 22 and 1 to get 23.

$$21x=23$$

Divide both sides by 21.

$$x=\frac{23}{21}$$