Solve 4(P + 5) = 6(8P + 2) | 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

$$4(P+5)=6(8P+2)$$

Solve for P

$P=\frac{2}{11}\approx 0.181818182$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $P+5$.

$$4P+20=6\left(8P+2\right)$$

Use the distributive property to multiply $6$ by $8P+2$.

$$4P+20=48P+12$$

Subtract $48P$ from both sides.

$$4P+20-48P=12$$

Combine $4P$ and $-48P$ to get $-44P$.

$$-44P+20=12$$

Subtract $20$ from both sides.

$$-44P=12-20$$

Subtract $20$ from $12$ to get $-8$.

$$-44P=-8$$

Divide both sides by $-44$.

$$P=\frac{-8}{-44}$$

Reduce the fraction $\frac{-8}{-44}$ to lowest terms by extracting and canceling out $-4$.

$$P=\frac{2}{11}$$