Question

homework #6
choose 2: do all 4 for extra ch
lve each of the following equations by
$(x + 2) + x - 3 = 2(x + 12) + 35$
(handwritten notes below the equation)

Explanation:

Step1: Simplify both sides

Left side: \((x + 2)+x - 3=x + 2+x - 3 = 2x-1\)
Right side: \(2(x + 12)+35=2x+24 + 35=2x + 59\)
Equation becomes: \(2x-1=2x + 59\)

Step2: Subtract \(2x\) from both sides

\(2x-1-2x=2x + 59-2x\)
Simplify: \(-1 = 59\)

Answer:

The equation \((x + 2)+x - 3=2(x + 12)+35\) has no solution because \(-1 = 59\) is a false statement.