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

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

Solve for x

$$x=-203$$

Steps for Solving Linear Equation

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

$$3\left(3x-1\right)+24x-36\left(x+5\right)=12-2\left(x-4\right)$$

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

$$9x-3+24x-36\left(x+5\right)=12-2\left(x-4\right)$$

Combine 9x and 24x to get 33x.

$$33x-3-36\left(x+5\right)=12-2\left(x-4\right)$$

Use the distributive property to multiply -36 by x+5.

$$33x-3-36x-180=12-2\left(x-4\right)$$

Combine 33x and -36x to get -3x.

$$-3x-3-180=12-2\left(x-4\right)$$

Subtract 180 from -3 to get -183.

$$-3x-183=12-2\left(x-4\right)$$

Use the distributive property to multiply -2 by x-4.

$$-3x-183=12-2x+8$$

Add 12 and 8 to get 20.

$$-3x-183=20-2x$$

Add 2x to both sides.

$$-3x-183+2x=20$$

Combine -3x and 2x to get -x.

$$-x-183=20$$

Add 183 to both sides.

$$-x=20+183$$

Add 20 and 183 to get 203.

$$-x=203$$

Multiply both sides by -1.

$$x=-203$$