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

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

Solve for x

$$x = -\frac{30}{7} = -4\frac{2}{7} \approx -4.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\times 3x\times \frac{2}{5}=5x+6$$

Multiply 3 and 3 to get 9.

$$9x\times \frac{2}{5}=5x+6$$

Express 9\times \frac{2}{5} as a single fraction.

$$\frac{9\times 2}{5}x=5x+6$$

Multiply 9 and 2 to get 18.

$$\frac{18}{5}x=5x+6$$

Subtract 5x from both sides.

$$\frac{18}{5}x-5x=6$$

Combine \frac{18}{5}x and -5x to get -\frac{7}{5}x.

$$-\frac{7}{5}x=6$$

Multiply both sides by -\frac{5}{7}, the reciprocal of -\frac{7}{5}.

$$x=6\left(-\frac{5}{7}\right)$$

Express 6\left(-\frac{5}{7}\right) as a single fraction.

$$x=\frac{6\left(-5\right)}{7}$$

Multiply 6 and -5 to get -30.

$$x=\frac{-30}{7}$$

Fraction \frac{-30}{7} can be rewritten as -\frac{30}{7} by extracting the negative sign.

$$x=-\frac{30}{7}$$