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

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

Solve for x

$$x = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Subtract 1 from both sides.

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

Convert 1 to fraction \frac{5}{5}.

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

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

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

Subtract 5 from -3 to get -8.

$$\frac{2}{3}x=-\frac{8}{5}$$

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

$$x=-\frac{8}{5}\times \frac{3}{2}$$

Multiply -\frac{8}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-8\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{-8\times 3}{5\times 2}.

$$x=\frac{-24}{10}$$

Reduce the fraction \frac{-24}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{12}{5}$$