Solve 3x/5-2/3=4x-1/3

$$\frac { 3 x } { 5 } - \frac { 2 } { 3 } = 4 x - \frac { 1 } { 3 }$$

Solve for x

$$x=-\frac{5}{51}\approx -0.098039216$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\times 3x-10=60x-5$$

Multiply 3 and 3 to get 9.

$$9x-10=60x-5$$

Subtract 60x from both sides.

$$9x-10-60x=-5$$

Combine 9x and -60x to get -51x.

$$-51x-10=-5$$

Add 10 to both sides.

$$-51x=-5+10$$

Add -5 and 10 to get 5.

$$-51x=5$$

Divide both sides by -51.

$$x=\frac{5}{-51}$$

Fraction \frac{5}{-51} can be rewritten as -\frac{5}{51} by extracting the negative sign.

$$x=-\frac{5}{51}$$