Solve (p + 1)/7 - (3(p - 2))/14 = 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

$$\frac{p+1}{7}-\frac{3(p-2)}{14}=1$$

Solve for p

$p=-6$

Steps for Solving Linear Equation

Multiply both sides of the equation by $14$, the least common multiple of $7,14$.

$$2\left(p+1\right)-3\left(p-2\right)=14$$

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

$$2p+2-3\left(p-2\right)=14$$

Use the distributive property to multiply $-3$ by $p-2$.

$$2p+2-3p+6=14$$

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

$$-p+2+6=14$$

Add $2$ and $6$ to get $8$.

$$-p+8=14$$

Subtract $8$ from both sides.

$$-p=14-8$$

Subtract $8$ from $14$ to get $6$.

$$-p=6$$

Multiply both sides by $-1$.

$$p=-6$$