Solve x-3/3-x-4/5=7/5

$$\frac { x - 3 } { 3 } - \frac { x - 4 } { 5 } = \frac { 7 } { 5 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(x-3\right)-3\left(x-4\right)=21$$

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

$$5x-15-3\left(x-4\right)=21$$

Use the distributive property to multiply -3 by x-4.

$$5x-15-3x+12=21$$

Combine 5x and -3x to get 2x.

$$2x-15+12=21$$

Add -15 and 12 to get -3.

$$2x-3=21$$

Add 3 to both sides.

$$2x=21+3$$

Add 21 and 3 to get 24.

$$2x=24$$

Divide both sides by 2.

$$x=\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$x=12$$