Solve 3-5x/3=x-1/2

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

Solve for x

$$x=\frac{9}{13}\approx 0.692307692$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by 3-5x.

$$6-10x=3\left(x-1\right)$$

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

$$6-10x=3x-3$$

Subtract 3x from both sides.

$$6-10x-3x=-3$$

Combine -10x and -3x to get -13x.

$$6-13x=-3$$

Subtract 6 from both sides.

$$-13x=-3-6$$

Subtract 6 from -3 to get -9.

$$-13x=-9$$

Divide both sides by -13.

$$x=\frac{-9}{-13}$$

Fraction \frac{-9}{-13} can be simplified to \frac{9}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{13}$$