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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$3\left(3x+1\right)=30-4\left(x-3\right)$$

Use the distributive property to multiply 3 by 3x+1.

$$9x+3=30-4\left(x-3\right)$$

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

$$9x+3=30-4x+12$$

Add 30 and 12 to get 42.

$$9x+3=42-4x$$

Add 4x to both sides.

$$9x+3+4x=42$$

Combine 9x and 4x to get 13x.

$$13x+3=42$$

Subtract 3 from both sides.

$$13x=42-3$$

Subtract 3 from 42 to get 39.

$$13x=39$$

Divide both sides by 13.

$$x=\frac{39}{13}$$

Divide 39 by 13 to get 3.

$$x=3$$