Solve 21/5=2/3-1/2x

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

Solve for x

$$x = -\frac{46}{15} = -3\frac{1}{15} \approx -3.066666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,3,2.

$$6\left(2\times 5+1\right)=20-15x$$

Multiply 2 and 5 to get 10.

$$6\left(10+1\right)=20-15x$$

Add 10 and 1 to get 11.

$$6\times 11=20-15x$$

Multiply 6 and 11 to get 66.

$$66=20-15x$$

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

$$20-15x=66$$

Subtract 20 from both sides.

$$-15x=66-20$$

Subtract 20 from 66 to get 46.

$$-15x=46$$

Divide both sides by -15.

$$x=\frac{46}{-15}$$

Fraction \frac{46}{-15} can be rewritten as -\frac{46}{15} by extracting the negative sign.

$$x=-\frac{46}{15}$$