Question

find the solution set. then indicate whether the equation is conditional, an identity, or a c
16(x - 1) = -8(2 - x) + 8x

the solution set is { }
the solution is the set of all real numbers.
the solution is the empty set.
indicate whether the equation is conditional, an identity, or a contradiction.
choose the correct answer.
identity
conditional equation
contradiction

Explanation:

Step1: Expand both sides

Expand the left side: \(16(x - 1)=16x-16\)
Expand the right side: \(-8(2 - x)+8x=-16 + 8x+8x=-16 + 16x\)

Step2: Compare both sides

Left side: \(16x-16\)
Right side: \(16x-16\)
Since both sides are equal for all real numbers \(x\), the solution is all real numbers, and the equation is an identity.

Answer:

The solution is the set of all real numbers.
The equation is an identity.