Solve 3(2n+1)-(n-2)=-2(n-6)

$$3 ( 2 n + 1 ) - ( n - 2 ) = - 2 ( n - 6 )$$

Solve for n

$$n=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2n+1.

$$6n+3-\left(n-2\right)=-2\left(n-6\right)$$

To find the opposite of n-2, find the opposite of each term.

$$6n+3-n-\left(-2\right)=-2\left(n-6\right)$$

The opposite of -2 is 2.

$$6n+3-n+2=-2\left(n-6\right)$$

Combine 6n and -n to get 5n.

$$5n+3+2=-2\left(n-6\right)$$

Add 3 and 2 to get 5.

$$5n+5=-2\left(n-6\right)$$

Use the distributive property to multiply -2 by n-6.

$$5n+5=-2n+12$$

Add 2n to both sides.

$$5n+5+2n=12$$

Combine 5n and 2n to get 7n.

$$7n+5=12$$

Subtract 5 from both sides.

$$7n=12-5$$

Subtract 5 from 12 to get 7.

$$7n=7$$

Divide both sides by 7.

$$n=\frac{7}{7}$$

Divide 7 by 7 to get 1.

$$n=1$$