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

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

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$5\left(x+3\right)=40+4\left(x-4\right)$$

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

$$5x+15=40+4\left(x-4\right)$$

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

$$5x+15=40+4x-16$$

Subtract 16 from 40 to get 24.

$$5x+15=24+4x$$

Subtract 4x from both sides.

$$5x+15-4x=24$$

Combine 5x and -4x to get x.

$$x+15=24$$

Subtract 15 from both sides.

$$x=24-15$$

Subtract 15 from 24 to get 9.

$$x=9$$