Solve 3(n-2)+4(2-n)=n+2n

$$3 ( n - 2 ) + 4 ( 2 - n ) = n + 2 n$$

Solve for n

$$n=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by n-2.

$$3n-6+4\left(2-n\right)=n+2n$$

Use the distributive property to multiply 4 by 2-n.

$$3n-6+8-4n=n+2n$$

Add -6 and 8 to get 2.

$$3n+2-4n=n+2n$$

Combine 3n and -4n to get -n.

$$-n+2=n+2n$$

Combine n and 2n to get 3n.

$$-n+2=3n$$

Subtract 3n from both sides.

$$-n+2-3n=0$$

Combine -n and -3n to get -4n.

$$-4n+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-4n=-2$$

Divide both sides by -4.

$$n=\frac{-2}{-4}$$

Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.

$$n=\frac{1}{2}$$