Solve -2-3x/6+1/12=-3/4+4x-5/2

$$- \frac { 2 - 3 x } { 6 } + \frac { 1 } { 12 } = - \frac { 3 } { 4 } + \frac { 4 x - 5 } { 2 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$-2\left(2-3x\right)+1=-9+6\left(4x-5\right)$$

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

$$-4+6x+1=-9+6\left(4x-5\right)$$

Add -4 and 1 to get -3.

$$-3+6x=-9+6\left(4x-5\right)$$

Use the distributive property to multiply 6 by 4x-5.

$$-3+6x=-9+24x-30$$

Subtract 30 from -9 to get -39.

$$-3+6x=-39+24x$$

Subtract 24x from both sides.

$$-3+6x-24x=-39$$

Combine 6x and -24x to get -18x.

$$-3-18x=-39$$

Add 3 to both sides.

$$-18x=-39+3$$

Add -39 and 3 to get -36.

$$-18x=-36$$

Divide both sides by -18.

$$x=\frac{-36}{-18}$$

Divide -36 by -18 to get 2.

$$x=2$$