Solve x-3/2-5x+1/3=1-9x/6

$$\frac{ x-3 }{ 2 } - \frac{ 5x+1 }{ 3 } = \frac{ 1-9x }{ 6 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

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

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

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

Use the distributive property to multiply -2 by 5x+1.

$$3x-9-10x-2=1-9x$$

Combine 3x and -10x to get -7x.

$$-7x-9-2=1-9x$$

Subtract 2 from -9 to get -11.

$$-7x-11=1-9x$$

Add 9x to both sides.

$$-7x-11+9x=1$$

Combine -7x and 9x to get 2x.

$$2x-11=1$$

Add 11 to both sides.

$$2x=1+11$$

Add 1 and 11 to get 12.

$$2x=12$$

Divide both sides by 2.

$$x=\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$x=6$$