Solve h (p - 1)/2 - (p - 2)/3 = 1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac { p - 1 } { 2 } - \frac { p - 2 } { 3 } = 1$$

Solve for p

$p=5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

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

Use the distributive property to multiply $3$ by $p-1$.

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

Use the distributive property to multiply $-2$ by $p-2$.

$$3p-3-2p+4=6$$

Combine $3p$ and $-2p$ to get $p$.

$$p-3+4=6$$

Add $-3$ and $4$ to get $1$.

$$p+1=6$$

Subtract $1$ from both sides.

$$p=6-1$$

Subtract $1$ from $6$ to get $5$.

$$p=5$$