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

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

Solve for x

$$x = -\frac{79}{7} = -11\frac{2}{7} \approx -11.285714286$$

Steps for Solving Linear Equation

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

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

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

$$10x+25=3\left(x+2\right)-60$$

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

$$10x+25=3x+6-60$$

Subtract 60 from 6 to get -54.

$$10x+25=3x-54$$

Subtract 3x from both sides.

$$10x+25-3x=-54$$

Combine 10x and -3x to get 7x.

$$7x+25=-54$$

Subtract 25 from both sides.

$$7x=-54-25$$

Subtract 25 from -54 to get -79.

$$7x=-79$$

Divide both sides by 7.

$$x=\frac{-79}{7}$$

Fraction \frac{-79}{7} can be rewritten as -\frac{79}{7} by extracting the negative sign.

$$x=-\frac{79}{7}$$