Solve 92x-x+1/8=3-3x-1/4

$$92 x - \frac { x + 1 } { 8 } = 3 - \frac { 3 x - 1 } { 4 }$$

Solve for x

$$x=\frac{9}{247}\approx 0.036437247$$

Steps for Solving Linear Equation

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

$$736x-\left(x+1\right)=24-2\left(3x-1\right)$$

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

$$736x-x-1=24-2\left(3x-1\right)$$

Combine 736x and -x to get 735x.

$$735x-1=24-2\left(3x-1\right)$$

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

$$735x-1=24-6x+2$$

Add 24 and 2 to get 26.

$$735x-1=26-6x$$

Add 6x to both sides.

$$735x-1+6x=26$$

Combine 735x and 6x to get 741x.

$$741x-1=26$$

Add 1 to both sides.

$$741x=26+1$$

Add 26 and 1 to get 27.

$$741x=27$$

Divide both sides by 741.

$$x=\frac{27}{741}$$

Reduce the fraction \frac{27}{741} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{247}$$