Solve x+1/5-2x-1/3=0

$$\frac { x + 1 } { 5 } - \frac { 2 x - 1 } { 3 } = 0$$

Solve for x

$$x = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$$

Steps for Solving Linear Equation

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

$$3\left(x+1\right)-5\left(2x-1\right)=0$$

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

$$3x+3-5\left(2x-1\right)=0$$

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

$$3x+3-10x+5=0$$

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

$$-7x+3+5=0$$

Add 3 and 5 to get 8.

$$-7x+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-8$$

Divide both sides by -7.

$$x=\frac{-8}{-7}$$

Fraction \frac{-8}{-7} can be simplified to \frac{8}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{7}$$