Solve x-x+2/4=6+x-5/5

$$x- \frac{ x+2 }{ 4 } =6+ \frac{ x-5 }{ 5 }$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$20x-5\left(x+2\right)=120+4\left(x-5\right)$$

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

$$20x-5x-10=120+4\left(x-5\right)$$

Combine 20x and -5x to get 15x.

$$15x-10=120+4\left(x-5\right)$$

Use the distributive property to multiply 4 by x-5.

$$15x-10=120+4x-20$$

Subtract 20 from 120 to get 100.

$$15x-10=100+4x$$

Subtract 4x from both sides.

$$15x-10-4x=100$$

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

$$11x-10=100$$

Add 10 to both sides.

$$11x=100+10$$

Add 100 and 10 to get 110.

$$11x=110$$

Divide both sides by 11.

$$x=\frac{110}{11}$$

Divide 110 by 11 to get 10.

$$x=10$$