Solve 2p-1/2+1/4=p+1/6

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

Solve for p

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

Steps for Solving Linear Equation

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

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

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

$$12p-6+3=2\left(p+1\right)$$

Add -6 and 3 to get -3.

$$12p-3=2\left(p+1\right)$$

Use the distributive property to multiply 2 by p+1.

$$12p-3=2p+2$$

Subtract 2p from both sides.

$$12p-3-2p=2$$

Combine 12p and -2p to get 10p.

$$10p-3=2$$

Add 3 to both sides.

$$10p=2+3$$

Add 2 and 3 to get 5.

$$10p=5$$

Divide both sides by 10.

$$p=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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