Solve x-5x-1/6=8-3x/4

$$x - \frac { 5 x - 1 } { 6 } = \frac { 8 - 3 x } { 4 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$12x-2\left(5x-1\right)=3\left(8-3x\right)$$

Use the distributive property to multiply -2 by 5x-1.

$$12x-10x+2=3\left(8-3x\right)$$

Combine 12x and -10x to get 2x.

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

Use the distributive property to multiply 3 by 8-3x.

$$2x+2=24-9x$$

Add 9x to both sides.

$$2x+2+9x=24$$

Combine 2x and 9x to get 11x.

$$11x+2=24$$

Subtract 2 from both sides.

$$11x=24-2$$

Subtract 2 from 24 to get 22.

$$11x=22$$

Divide both sides by 11.

$$x=\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$x=2$$