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

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

Solve for x

$$x = -\frac{420}{11} = -38\frac{2}{11} \approx -38.181818182$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 4,5,3.

$$15x+300=12\times 2x-120-20x$$

Multiply 12 and 2 to get 24.

$$15x+300=24x-120-20x$$

Combine 24x and -20x to get 4x.

$$15x+300=4x-120$$

Subtract 4x from both sides.

$$15x+300-4x=-120$$

Combine 15x and -4x to get 11x.

$$11x+300=-120$$

Subtract 300 from both sides.

$$11x=-120-300$$

Subtract 300 from -120 to get -420.

$$11x=-420$$

Divide both sides by 11.

$$x=\frac{-420}{11}$$

Fraction \frac{-420}{11} can be rewritten as -\frac{420}{11} by extracting the negative sign.

$$x=-\frac{420}{11}$$