Solve 2+2/3x=3/7

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

Solve for x

$$x = -\frac{33}{14} = -2\frac{5}{14} \approx -2.357142857$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

$$\frac{2}{3}x=\frac{3}{7}-2$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{2}{3}x=\frac{3}{7}-\frac{14}{7}$$

Since \frac{3}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{3-14}{7}$$

Subtract 14 from 3 to get -11.

$$\frac{2}{3}x=-\frac{11}{7}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=-\frac{11}{7}\times \frac{3}{2}$$

Multiply -\frac{11}{7} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-11\times 3}{7\times 2}$$

Do the multiplications in the fraction \frac{-11\times 3}{7\times 2}.

$$x=\frac{-33}{14}$$

Fraction \frac{-33}{14} can be rewritten as -\frac{33}{14} by extracting the negative sign.

$$x=-\frac{33}{14}$$