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solve the equation. 19 + 1 = - 4(8x - 5) x =

Question

solve the equation. 19 + 1 = - 4(8x - 5) x =

Explanation:

Step1: Simplify left - hand side

$19 + 1=20$, so the equation becomes $20=-4(8x - 5)$.

Step2: Distribute on right - hand side

Using the distributive property $a(b - c)=ab - ac$, we have $20=-4\times8x+(-4)\times(-5)$. So $20=-32x + 20$.

Step3: Subtract 20 from both sides

$20-20=-32x+20 - 20$, which simplifies to $0=-32x$.

Step4: Solve for x

Divide both sides by - 32, $\frac{0}{-32}=\frac{-32x}{-32}$, so $x = 0$.

Answer:

$0$