Solve 3/4x+3=2/5

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

Solve for x

$$x = -\frac{52}{15} = -3\frac{7}{15} \approx -3.466666667$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

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

Convert 3 to fraction \frac{15}{5}.

$$\frac{3}{4}x=\frac{2}{5}-\frac{15}{5}$$

Since \frac{2}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}x=\frac{2-15}{5}$$

Subtract 15 from 2 to get -13.

$$\frac{3}{4}x=-\frac{13}{5}$$

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

$$x=-\frac{13}{5}\times \frac{4}{3}$$

Multiply -\frac{13}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-13\times 4}{5\times 3}$$

Do the multiplications in the fraction \frac{-13\times 4}{5\times 3}.

$$x=\frac{-52}{15}$$

Fraction \frac{-52}{15} can be rewritten as -\frac{52}{15} by extracting the negative sign.

$$x=-\frac{52}{15}$$