Solve 6(5p - 1) + 4 <= - 92 | 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

$$6(5p-1)+4\le-92$$

Solve for p

$p\leq -3$

Solution Steps

Use the distributive property to multiply $6$ by $5p-1$.

$$30p-6+4\leq -92$$

Add $-6$ and $4$ to get $-2$.

$$30p-2\leq -92$$

Add $2$ to both sides.

$$30p\leq -92+2$$

Add $-92$ and $2$ to get $-90$.

$$30p\leq -90$$

Divide both sides by $30$. Since $30$ is positive, the inequality direction remains the same.

$$p\leq \frac{-90}{30}$$

Divide $-90$ by $30$ to get $-3$.

$$p\leq -3$$