Solve 6x-4/5=3/5-3(x-2)/3

$$\frac { 6 x - 4 } { 5 } = \frac { 3 } { 5 } - \frac { 3 ( x - 2 ) } { 3 }$$

Solve for x

$$x = \frac{17}{11} = 1\frac{6}{11} \approx 1.545454545$$

Steps for Solving Linear Equation

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

$$3\left(6x-4\right)=9-5\times 3\left(x-2\right)$$

Use the distributive property to multiply 3 by 6x-4.

$$18x-12=9-5\times 3\left(x-2\right)$$

Multiply -5 and 3 to get -15.

$$18x-12=9-15\left(x-2\right)$$

Use the distributive property to multiply -15 by x-2.

$$18x-12=9-15x+30$$

Add 9 and 30 to get 39.

$$18x-12=39-15x$$

Add 15x to both sides.

$$18x-12+15x=39$$

Combine 18x and 15x to get 33x.

$$33x-12=39$$

Add 12 to both sides.

$$33x=39+12$$

Add 39 and 12 to get 51.

$$33x=51$$

Divide both sides by 33.

$$x=\frac{51}{33}$$

Reduce the fraction \frac{51}{33} to lowest terms by extracting and canceling out 3.

$$x=\frac{17}{11}$$