Solve 3/4x+2=2/5

$$\frac{ 3 }{ 4 } x+2= \frac{ 2 }{ 5 }$$

Solve for x

$$x = -\frac{32}{15} = -2\frac{2}{15} \approx -2.133333333$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

$$\frac{3}{4}x=\frac{2}{5}-2$$

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

$$\frac{3}{4}x=\frac{2}{5}-\frac{10}{5}$$

Since \frac{2}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}x=\frac{2-10}{5}$$

Subtract 10 from 2 to get -8.

$$\frac{3}{4}x=-\frac{8}{5}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=-\frac{8}{5}\times \frac{4}{3}$$

Multiply -\frac{8}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-8\times 4}{5\times 3}$$

Do the multiplications in the fraction \frac{-8\times 4}{5\times 3}.

$$x=\frac{-32}{15}$$

Fraction \frac{-32}{15} can be rewritten as -\frac{32}{15} by extracting the negative sign.

$$x=-\frac{32}{15}$$