Solve 21/3=5/6+x

$$2 \frac { 1 } { 3 } = \frac{ 5 }{ 6 } +x$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

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

$$2\left(2\times 3+1\right)=5+6x$$

Multiply 2 and 3 to get 6.

$$2\left(6+1\right)=5+6x$$

Add 6 and 1 to get 7.

$$2\times 7=5+6x$$

Multiply 2 and 7 to get 14.

$$14=5+6x$$

Swap sides so that all variable terms are on the left hand side.

$$5+6x=14$$

Subtract 5 from both sides.

$$6x=14-5$$

Subtract 5 from 14 to get 9.

$$6x=9$$

Divide both sides by 6.

$$x=\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{2}$$