Solve 3x+1/5-2x+3/3=x-4

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$3\left(3x+1\right)-5\left(2x+3\right)=15x-60$$

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

$$9x+3-5\left(2x+3\right)=15x-60$$

Use the distributive property to multiply -5 by 2x+3.

$$9x+3-10x-15=15x-60$$

Combine 9x and -10x to get -x.

$$-x+3-15=15x-60$$

Subtract 15 from 3 to get -12.

$$-x-12=15x-60$$

Subtract 15x from both sides.

$$-x-12-15x=-60$$

Combine -x and -15x to get -16x.

$$-16x-12=-60$$

Add 12 to both sides.

$$-16x=-60+12$$

Add -60 and 12 to get -48.

$$-16x=-48$$

Divide both sides by -16.

$$x=\frac{-48}{-16}$$

Divide -48 by -16 to get 3.

$$x=3$$