Solve 12x-7/5=(x+2)/3

$$\frac { 12 x - 7 } { 5 } = \frac { ( x + 2 ) } { 3 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3\left(12x-7\right)=5\left(x+2\right)$$

Use the distributive property to multiply 3 by 12x-7.

$$36x-21=5\left(x+2\right)$$

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

$$36x-21=5x+10$$

Subtract 5x from both sides.

$$36x-21-5x=10$$

Combine 36x and -5x to get 31x.

$$31x-21=10$$

Add 21 to both sides.

$$31x=10+21$$

Add 10 and 21 to get 31.

$$31x=31$$

Divide both sides by 31.

$$x=\frac{31}{31}$$

Divide 31 by 31 to get 1.

$$x=1$$