Solve 2(1-x)/3x=1-3/x

$$\frac{ 2(1-x) }{ 3x } =1- \frac{ 3 }{ x }$$

Solve for x

$$x = \frac{11}{5} = 2\frac{1}{5} = 2.2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3x,x.

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

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

$$2-2x=3x-3\times 3$$

Multiply -3 and 3 to get -9.

$$2-2x=3x-9$$

Subtract 3x from both sides.

$$2-2x-3x=-9$$

Combine -2x and -3x to get -5x.

$$2-5x=-9$$

Subtract 2 from both sides.

$$-5x=-9-2$$

Subtract 2 from -9 to get -11.

$$-5x=-11$$

Divide both sides by -5.

$$x=\frac{-11}{-5}$$

Fraction \frac{-11}{-5} can be simplified to \frac{11}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{5}$$