Solve 4/3-x/3=-5x/6+3x/4

$$4 / 3 - x / 3 = - 5 x / 6 + 3 x / 4$$

Solve for x

$$x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,6,4.

$$16-4x=2\left(-5\right)x+3\times 3x$$

Multiply 2 and -5 to get -10. Multiply 3 and 3 to get 9.

$$16-4x=-10x+9x$$

Combine -10x and 9x to get -x.

$$16-4x=-x$$

Add x to both sides.

$$16-4x+x=0$$

Combine -4x and x to get -3x.

$$16-3x=0$$

Subtract 16 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-16$$

Divide both sides by -3.

$$x=\frac{-16}{-3}$$

Fraction \frac{-16}{-3} can be simplified to \frac{16}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{3}$$