Solve x+1/4-2(x-3)/6=3x+9-6/3

$$\frac { x + 1 } { 4 } - \frac { 2 ( x - 3 ) } { 6 } = 3 x + \frac { 9 - 6 } { 3 }$$

Solve for x

$$x=\frac{3}{37}\approx 0.081081081$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6,3.

$$3\left(x+1\right)-2\times 2\left(x-3\right)=36x+4\left(9-6\right)$$

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

$$3x+3-2\times 2\left(x-3\right)=36x+4\left(9-6\right)$$

Multiply -2 and 2 to get -4.

$$3x+3-4\left(x-3\right)=36x+4\left(9-6\right)$$

Use the distributive property to multiply -4 by x-3.

$$3x+3-4x+12=36x+4\left(9-6\right)$$

Combine 3x and -4x to get -x.

$$-x+3+12=36x+4\left(9-6\right)$$

Add 3 and 12 to get 15.

$$-x+15=36x+4\left(9-6\right)$$

Subtract 6 from 9 to get 3.

$$-x+15=36x+4\times 3$$

Multiply 4 and 3 to get 12.

$$-x+15=36x+12$$

Subtract 36x from both sides.

$$-x+15-36x=12$$

Combine -x and -36x to get -37x.

$$-37x+15=12$$

Subtract 15 from both sides.

$$-37x=12-15$$

Subtract 15 from 12 to get -3.

$$-37x=-3$$

Divide both sides by -37.

$$x=\frac{-3}{-37}$$

Fraction \frac{-3}{-37} can be simplified to \frac{3}{37} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{37}$$