Solve 4x+1/5=x-5/3

$$\frac { 4 x + 1 } { 5 } = \frac { x - 5 } { 3 }$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

$$3\left(4x+1\right)=5\left(x-5\right)$$

Use the distributive property to multiply 3 by 4x+1.

$$12x+3=5\left(x-5\right)$$

Use the distributive property to multiply 5 by x-5.

$$12x+3=5x-25$$

Subtract 5x from both sides.

$$12x+3-5x=-25$$

Combine 12x and -5x to get 7x.

$$7x+3=-25$$

Subtract 3 from both sides.

$$7x=-25-3$$

Subtract 3 from -25 to get -28.

$$7x=-28$$

Divide both sides by 7.

$$x=\frac{-28}{7}$$

Divide -28 by 7 to get -4.

$$x=-4$$