Solve x-4/5=x-2/3-(x-3)/4

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

Solve for x

$$x = \frac{53}{7} = 7\frac{4}{7} \approx 7.571428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,3,4.

$$12\left(x-4\right)=20\left(x-2\right)-15\left(x-3\right)$$

Use the distributive property to multiply 12 by x-4.

$$12x-48=20\left(x-2\right)-15\left(x-3\right)$$

Use the distributive property to multiply 20 by x-2.

$$12x-48=20x-40-15\left(x-3\right)$$

Use the distributive property to multiply -15 by x-3.

$$12x-48=20x-40-15x+45$$

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

$$12x-48=5x-40+45$$

Add -40 and 45 to get 5.

$$12x-48=5x+5$$

Subtract 5x from both sides.

$$12x-48-5x=5$$

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

$$7x-48=5$$

Add 48 to both sides.

$$7x=5+48$$

Add 5 and 48 to get 53.

$$7x=53$$

Divide both sides by 7.

$$x=\frac{53}{7}$$