Solve x-3/8=x-4/9+1

$$\frac { x - 3 } { 8 } = \frac { x - 4 } { 9 } + 1$$

Solve for x

$$x=67$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 72, the least common multiple of 8,9.

$$9\left(x-3\right)=8\left(x-4\right)+72$$

Use the distributive property to multiply 9 by x-3.

$$9x-27=8\left(x-4\right)+72$$

Use the distributive property to multiply 8 by x-4.

$$9x-27=8x-32+72$$

Add -32 and 72 to get 40.

$$9x-27=8x+40$$

Subtract 8x from both sides.

$$9x-27-8x=40$$

Combine 9x and -8x to get x.

$$x-27=40$$

Add 27 to both sides.

$$x=40+27$$

Add 40 and 27 to get 67.

$$x=67$$