Question

5 1 - 8x - 5 = 20

Explanation:

Step1: Simplify left - hand side

Combine the constant terms on the left - hand side of the equation \(1 - 8x-5 = 20\). We have \(1-5=-4\), so the equation becomes \(-8x - 4=20\).

Step2: Isolate the term with \(x\)

Add 4 to both sides of the equation \(-8x - 4=20\). According to the addition property of equality, if \(a = b\), then \(a + c=b + c\). Here, \(a=-8x - 4\), \(b = 20\) and \(c = 4\). So we get \(-8x-4 + 4=20 + 4\), which simplifies to \(-8x=24\).

Step3: Solve for \(x\)

Divide both sides of the equation \(-8x = 24\) by \(-8\). According to the division property of equality, if \(a=b\) and \(c
eq0\), then \(\frac{a}{c}=\frac{b}{c}\). Here, \(a=-8x\), \(b = 24\) and \(c=-8\). So \(\frac{-8x}{-8}=\frac{24}{-8}\), which gives \(x=-3\).

Answer:

\(x=-3\)