Solve 1/2(6c-4)=4+c

$$\frac { 1 } { 2 } ( 6 c - 4 ) = 4 + c$$

Solve for c

$$c=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by 6c-4.

$$\frac{1}{2}\times 6c+\frac{1}{2}\left(-4\right)=4+c$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

$$\frac{6}{2}c+\frac{1}{2}\left(-4\right)=4+c$$

Divide 6 by 2 to get 3.

$$3c+\frac{1}{2}\left(-4\right)=4+c$$

Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.

$$3c+\frac{-4}{2}=4+c$$

Divide -4 by 2 to get -2.

$$3c-2=4+c$$

Subtract c from both sides.

$$3c-2-c=4$$

Combine 3c and -c to get 2c.

$$2c-2=4$$

Add 2 to both sides.

$$2c=4+2$$

Add 4 and 2 to get 6.

$$2c=6$$

Divide both sides by 2.

$$c=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$c=3$$