Solve 7/9+2=x+31/3

$$\frac { 7 } { 9 } + 2 = x + 3 \frac { 1 } { 3 }$$

Solve for x

$$x=-\frac{5}{9}\approx -0.555555556$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9, the least common multiple of 9,3.

$$7+18=9x+3\left(3\times 3+1\right)$$

Add 7 and 18 to get 25.

$$25=9x+3\left(3\times 3+1\right)$$

Multiply 3 and 3 to get 9.

$$25=9x+3\left(9+1\right)$$

Add 9 and 1 to get 10.

$$25=9x+3\times 10$$

Multiply 3 and 10 to get 30.

$$25=9x+30$$

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

$$9x+30=25$$

Subtract 30 from both sides.

$$9x=25-30$$

Subtract 30 from 25 to get -5.

$$9x=-5$$

Divide both sides by 9.

$$x=\frac{-5}{9}$$

Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.

$$x=-\frac{5}{9}$$