Solve p - (6p - 5)/2 = 3 - (p - 2)/3 | 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

$$p-\frac{6p-5}{2}=3-\frac{p-2}{3}$$

Solve for p

$p=-\frac{7}{10}=-0.7$

Steps for Solving Linear Equation

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

$$6p-3\left(6p-5\right)=18-2\left(p-2\right)$$

Use the distributive property to multiply $-3$ by $6p-5$.

$$6p-18p+15=18-2\left(p-2\right)$$

Combine $6p$ and $-18p$ to get $-12p$.

$$-12p+15=18-2\left(p-2\right)$$

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

$$-12p+15=18-2p+4$$

Add $18$ and $4$ to get $22$.

$$-12p+15=22-2p$$

Add $2p$ to both sides.

$$-12p+15+2p=22$$

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

$$-10p+15=22$$

Subtract $15$ from both sides.

$$-10p=22-15$$

Subtract $15$ from $22$ to get $7$.

$$-10p=7$$

Divide both sides by $-10$.

$$p=\frac{7}{-10}$$

Fraction $\frac{7}{-10}$ can be rewritten as $-\frac{7}{10}$ by extracting the negative sign.

$$p=-\frac{7}{10}$$