Solve 1-2-3x/4=3-2x-5/6

$$1 - \frac { 2 - 3 x } { 4 } = 3 - \frac { 2 x - 5 } { 6 }$$

Solve for x

$$x = \frac{40}{13} = 3\frac{1}{13} \approx 3.076923077$$

Steps for Solving Linear Equation

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

$$12-3\left(2-3x\right)=36-2\left(2x-5\right)$$

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

$$12-6+9x=36-2\left(2x-5\right)$$

Subtract 6 from 12 to get 6.

$$6+9x=36-2\left(2x-5\right)$$

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

$$6+9x=36-4x+10$$

Add 36 and 10 to get 46.

$$6+9x=46-4x$$

Add 4x to both sides.

$$6+9x+4x=46$$

Combine 9x and 4x to get 13x.

$$6+13x=46$$

Subtract 6 from both sides.

$$13x=46-6$$

Subtract 6 from 46 to get 40.

$$13x=40$$

Divide both sides by 13.

$$x=\frac{40}{13}$$