Solve 2x+4/5-7x-6/15=2

$$\frac{ 2x+4 }{ 5 } - \frac{ 7x-6 }{ 15 } = 2$$

Solve for x

$$x=-12$$

Steps for Solving Linear Equation

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

$$3\left(2x+4\right)-\left(7x-6\right)=30$$

Use the distributive property to multiply 3 by 2x+4.

$$6x+12-\left(7x-6\right)=30$$

To find the opposite of 7x-6, find the opposite of each term.

$$6x+12-7x-\left(-6\right)=30$$

The opposite of -6 is 6.

$$6x+12-7x+6=30$$

Combine 6x and -7x to get -x.

$$-x+12+6=30$$

Add 12 and 6 to get 18.

$$-x+18=30$$

Subtract 18 from both sides.

$$-x=30-18$$

Subtract 18 from 30 to get 12.

$$-x=12$$

Multiply both sides by -1.

$$x=-12$$