Solve 5x+1/3=6x-3/5

$$\frac { 5 x + 1 } { 3 } = \frac { 6 x - 3 } { 5 }$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$5\left(5x+1\right)=3\left(6x-3\right)$$

Use the distributive property to multiply 5 by 5x+1.

$$25x+5=3\left(6x-3\right)$$

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

$$25x+5=18x-9$$

Subtract 18x from both sides.

$$25x+5-18x=-9$$

Combine 25x and -18x to get 7x.

$$7x+5=-9$$

Subtract 5 from both sides.

$$7x=-9-5$$

Subtract 5 from -9 to get -14.

$$7x=-14$$

Divide both sides by 7.

$$x=\frac{-14}{7}$$

Divide -14 by 7 to get -2.

$$x=-2$$