Solve x+4/8=x-1/3

$$\frac { x + 4 } { 8 } = x - \frac { 1 } { 3 }$$

Solve for x

$$x=\frac{20}{21}\approx 0.952380952$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,3.

$$3\left(x+4\right)=24x-8$$

Use the distributive property to multiply 3 by x+4.

$$3x+12=24x-8$$

Subtract 24x from both sides.

$$3x+12-24x=-8$$

Combine 3x and -24x to get -21x.

$$-21x+12=-8$$

Subtract 12 from both sides.

$$-21x=-8-12$$

Subtract 12 from -8 to get -20.

$$-21x=-20$$

Divide both sides by -21.

$$x=\frac{-20}{-21}$$

Fraction \frac{-20}{-21} can be simplified to \frac{20}{21} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{20}{21}$$