Solve 1/5x-1/3(3-2x)=1

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

Solve for x

$$x = \frac{30}{13} = 2\frac{4}{13} \approx 2.307692308$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{3} by 3-2x.

$$\frac{1}{5}x-\frac{1}{3}\times 3-\frac{1}{3}\left(-2\right)x=1$$

Cancel out 3 and 3.

$$\frac{1}{5}x-1-\frac{1}{3}\left(-2\right)x=1$$

Express -\frac{1}{3}\left(-2\right) as a single fraction.

$$\frac{1}{5}x-1+\frac{-\left(-2\right)}{3}x=1$$

Multiply -1 and -2 to get 2.

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

Combine \frac{1}{5}x and \frac{2}{3}x to get \frac{13}{15}x.

$$\frac{13}{15}x-1=1$$

Add 1 to both sides.

$$\frac{13}{15}x=1+1$$

Add 1 and 1 to get 2.

$$\frac{13}{15}x=2$$

Multiply both sides by \frac{15}{13}, the reciprocal of \frac{13}{15}.

$$x=2\times \frac{15}{13}$$

Express 2\times \frac{15}{13} as a single fraction.

$$x=\frac{2\times 15}{13}$$

Multiply 2 and 15 to get 30.

$$x=\frac{30}{13}$$