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

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

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(x-3\right)+4\left(x-1\right)=12x-48$$

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

$$3x-9+4\left(x-1\right)=12x-48$$

Use the distributive property to multiply 4 by x-1.

$$3x-9+4x-4=12x-48$$

Combine 3x and 4x to get 7x.

$$7x-9-4=12x-48$$

Subtract 4 from -9 to get -13.

$$7x-13=12x-48$$

Subtract 12x from both sides.

$$7x-13-12x=-48$$

Combine 7x and -12x to get -5x.

$$-5x-13=-48$$

Add 13 to both sides.

$$-5x=-48+13$$

Add -48 and 13 to get -35.

$$-5x=-35$$

Divide both sides by -5.

$$x=\frac{-35}{-5}$$

Divide -35 by -5 to get 7.

$$x=7$$