Solve 2/3x+2=-3/5

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

Solve for x

$$x = -\frac{39}{10} = -3\frac{9}{10} = -3.9$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

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

Convert 2 to fraction \frac{10}{5}.

$$\frac{2}{3}x=-\frac{3}{5}-\frac{10}{5}$$

Since -\frac{3}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{-3-10}{5}$$

Subtract 10 from -3 to get -13.

$$\frac{2}{3}x=-\frac{13}{5}$$

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

$$x=-\frac{13}{5}\times \frac{3}{2}$$

Multiply -\frac{13}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-13\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{-13\times 3}{5\times 2}.

$$x=\frac{-39}{10}$$

Fraction \frac{-39}{10} can be rewritten as -\frac{39}{10} by extracting the negative sign.

$$x=-\frac{39}{10}$$