Question

1. 2(x + 5) - 3 = -(2x + 1) + 1

Explanation:

Step1: Expand both sides

Expand the left side: \(2(x + 5)-3 = 2x+10 - 3=2x + 7\)
Expand the right side: \(-(2x + 1)+1=-2x-1 + 1=-2x\)
Now the equation is \(2x + 7=-2x\)

Step2: Add \(2x\) to both sides

\(2x+2x + 7=-2x + 2x\)
\(4x + 7 = 0\)

Step3: Subtract 7 from both sides

\(4x+7 - 7=0 - 7\)
\(4x=-7\)

Step4: Divide by 4

\(x=\frac{-7}{4}=-1.75\)

Answer:

\(x = -\dfrac{7}{4}\) (or \(x=-1.75\))