Solve 2x/5+2/5=x/15-4

$$\frac { 2 x } { 5 } + \frac { 2 } { 5 } = \frac { x } { 15 } - 4$$

Solve for x

$$x = -\frac{66}{5} = -13\frac{1}{5} = -13.2$$

Steps for Solving Linear Equation

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

$$3\times 2x+6=x-60$$

Multiply 3 and 2 to get 6.

$$6x+6=x-60$$

Subtract x from both sides.

$$6x+6-x=-60$$

Combine 6x and -x to get 5x.

$$5x+6=-60$$

Subtract 6 from both sides.

$$5x=-60-6$$

Subtract 6 from -60 to get -66.

$$5x=-66$$

Divide both sides by 5.

$$x=\frac{-66}{5}$$

Fraction \frac{-66}{5} can be rewritten as -\frac{66}{5} by extracting the negative sign.

$$x=-\frac{66}{5}$$