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

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

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 9,6.

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

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

$$6x-4=3\left(3x-1\right)$$

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

$$6x-4=9x-3$$

Subtract 9x from both sides.

$$6x-4-9x=-3$$

Combine 6x and -9x to get -3x.

$$-3x-4=-3$$

Add 4 to both sides.

$$-3x=-3+4$$

Add -3 and 4 to get 1.

$$-3x=1$$

Divide both sides by -3.

$$x=\frac{1}{-3}$$

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$x=-\frac{1}{3}$$