Solve (2/5x-1/3=4/15x+3)

$$( \frac { 2 } { 5 } x - \frac { 1 } { 3 } = \frac { 4 } { 15 } x + 3 )$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Subtract \frac{4}{15}x from both sides.

$$\frac{2}{5}x-\frac{1}{3}-\frac{4}{15}x=3$$

Combine \frac{2}{5}x and -\frac{4}{15}x to get \frac{2}{15}x.

$$\frac{2}{15}x-\frac{1}{3}=3$$

Add \frac{1}{3} to both sides.

$$\frac{2}{15}x=3+\frac{1}{3}$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{2}{15}x=\frac{9}{3}+\frac{1}{3}$$

Since \frac{9}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{2}{15}x=\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{2}{15}x=\frac{10}{3}$$

Multiply both sides by \frac{15}{2}, the reciprocal of \frac{2}{15}.

$$x=\frac{10}{3}\times \frac{15}{2}$$

Multiply \frac{10}{3} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{10\times 15}{3\times 2}$$

Do the multiplications in the fraction \frac{10\times 15}{3\times 2}.

$$x=\frac{150}{6}$$

Divide 150 by 6 to get 25.

$$x=25$$