Solve x-4/5=2x+4/9+9

$$\frac { x - 4 } { 5 } = \frac { 2 x + 4 } { 9 } + 9$$

Solve for x

$$x=-461$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 5,9.

$$9\left(x-4\right)=5\left(2x+4\right)+405$$

Use the distributive property to multiply 9 by x-4.

$$9x-36=5\left(2x+4\right)+405$$

Use the distributive property to multiply 5 by 2x+4.

$$9x-36=10x+20+405$$

Add 20 and 405 to get 425.

$$9x-36=10x+425$$

Subtract 10x from both sides.

$$9x-36-10x=425$$

Combine 9x and -10x to get -x.

$$-x-36=425$$

Add 36 to both sides.

$$-x=425+36$$

Add 425 and 36 to get 461.

$$-x=461$$

Multiply both sides by -1.

$$x=-461$$