Solve 4-10x+1/6=3-3x/2+x/4

$$4 - \frac { 10 x + 1 } { 6 } = 3 - \frac { 3 x } { 2 } + \frac { x } { 4 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,2,4.

$$48-2\left(10x+1\right)=36-6\times 3x+3x$$

Use the distributive property to multiply -2 by 10x+1.

$$48-20x-2=36-6\times 3x+3x$$

Subtract 2 from 48 to get 46.

$$46-20x=36-6\times 3x+3x$$

Multiply -6 and 3 to get -18.

$$46-20x=36-18x+3x$$

Combine -18x and 3x to get -15x.

$$46-20x=36-15x$$

Add 15x to both sides.

$$46-20x+15x=36$$

Combine -20x and 15x to get -5x.

$$46-5x=36$$

Subtract 46 from both sides.

$$-5x=36-46$$

Subtract 46 from 36 to get -10.

$$-5x=-10$$

Divide both sides by -5.

$$x=\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$x=2$$