Solve 2+2x/9=4/8

$$2 + \frac { 2 x } { 9 } = \frac { 4 } { 8 }$$

Solve for x

$$x = -\frac{27}{4} = -6\frac{3}{4} = -6.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 72, the least common multiple of 9,8.

$$144+8\times 2x=9\times 4$$

Multiply 8 and 2 to get 16.

$$144+16x=9\times 4$$

Multiply 9 and 4 to get 36.

$$144+16x=36$$

Subtract 144 from both sides.

$$16x=36-144$$

Subtract 144 from 36 to get -108.

$$16x=-108$$

Divide both sides by 16.

$$x=\frac{-108}{16}$$

Reduce the fraction \frac{-108}{16} to lowest terms by extracting and canceling out 4.

$$x=-\frac{27}{4}$$