Solve x/5-2x-1/3=4/15

$$\frac { x } { 5 } - \frac { 2 x - 1 } { 3 } = \frac { 4 } { 15 }$$

Solve for x

$$x=\frac{1}{7}\approx 0.142857143$$

Steps for Solving Linear Equation

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

$$3x-5\left(2x-1\right)=4$$

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

$$3x-10x+5=4$$

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

$$-7x+5=4$$

Subtract 5 from both sides.

$$-7x=4-5$$

Subtract 5 from 4 to get -1.

$$-7x=-1$$

Divide both sides by -7.

$$x=\frac{-1}{-7}$$

Fraction \frac{-1}{-7} can be simplified to \frac{1}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{7}$$