Solve 2-3x/4=3x/4+5/6

$$2- \frac{ 3x }{ 4 } = \frac{ 3x }{ 4 } + \frac{ 5 }{ 6 }$$

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

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

$$24-3\times 3x=3\times 3x+10$$

Multiply -3 and 3 to get -9.

$$24-9x=3\times 3x+10$$

Multiply 3 and 3 to get 9.

$$24-9x=9x+10$$

Subtract 9x from both sides.

$$24-9x-9x=10$$

Combine -9x and -9x to get -18x.

$$24-18x=10$$

Subtract 24 from both sides.

$$-18x=10-24$$

Subtract 24 from 10 to get -14.

$$-18x=-14$$

Divide both sides by -18.

$$x=\frac{-14}{-18}$$

Reduce the fraction \frac{-14}{-18} to lowest terms by extracting and canceling out -2.

$$x=\frac{7}{9}$$