Solve 2c-1/2+c/4=c+3/6

$$\frac { 2 c - 1 } { 2 } + \frac { c } { 4 } = \frac { c + 3 } { 6 }$$

Solve for c

$$c=\frac{12}{13}\approx 0.923076923$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,4,6.

$$6\left(2c-1\right)+3c=2\left(c+3\right)$$

Use the distributive property to multiply 6 by 2c-1.

$$12c-6+3c=2\left(c+3\right)$$

Combine 12c and 3c to get 15c.

$$15c-6=2\left(c+3\right)$$

Use the distributive property to multiply 2 by c+3.

$$15c-6=2c+6$$

Subtract 2c from both sides.

$$15c-6-2c=6$$

Combine 15c and -2c to get 13c.

$$13c-6=6$$

Add 6 to both sides.

$$13c=6+6$$

Add 6 and 6 to get 12.

$$13c=12$$

Divide both sides by 13.

$$c=\frac{12}{13}$$