Question

1. what is the value of x that satisfies the equation below?

8x - 5(x - 1) = 20
a) 10
b) \\(\frac{15}{8}\\)
c) \\(\frac{25}{3}\\)
d) 5

Explanation:

Step1: Expand the equation

First, we expand the left - hand side of the equation \(8x - 5(x - 1)=20\). Using the distributive property \(a(b - c)=ab - ac\), we have \(8x-5x + 5=20\).

Step2: Combine like terms

Combine the \(x\) terms: \(8x-5x=3x\), so the equation becomes \(3x + 5=20\).

Step3: Solve for x

Subtract 5 from both sides of the equation: \(3x+5 - 5=20 - 5\), which simplifies to \(3x = 15\). Then divide both sides by 3: \(\frac{3x}{3}=\frac{15}{3}\), so \(x = 5\).

Answer:

d) 5