Solve x+3/2=3x-1/5

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

Solve for x

$$x=17$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

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

Use the distributive property to multiply 5 by x+3.

$$5x+15=2\left(3x-1\right)$$

Use the distributive property to multiply 2 by 3x-1.

$$5x+15=6x-2$$

Subtract 6x from both sides.

$$5x+15-6x=-2$$

Combine 5x and -6x to get -x.

$$-x+15=-2$$

Subtract 15 from both sides.

$$-x=-2-15$$

Subtract 15 from -2 to get -17.

$$-x=-17$$

Multiply both sides by -1.

$$x=17$$