Solve 3x+12/4+2=5x-7/3

$$\frac{ 3x+12 }{ 4 } +2= \frac{ 5x-7 }{ 3 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$3\left(3x+12\right)+24=4\left(5x-7\right)$$

Use the distributive property to multiply 3 by 3x+12.

$$9x+36+24=4\left(5x-7\right)$$

Add 36 and 24 to get 60.

$$9x+60=4\left(5x-7\right)$$

Use the distributive property to multiply 4 by 5x-7.

$$9x+60=20x-28$$

Subtract 20x from both sides.

$$9x+60-20x=-28$$

Combine 9x and -20x to get -11x.

$$-11x+60=-28$$

Subtract 60 from both sides.

$$-11x=-28-60$$

Subtract 60 from -28 to get -88.

$$-11x=-88$$

Divide both sides by -11.

$$x=\frac{-88}{-11}$$

Divide -88 by -11 to get 8.

$$x=8$$