Answer
The equation is an identity and the solution set is {all real numbers}.
Work Step by Step
Step 1: $4(2x+7)=2x+22+3(2x+2)$
Step 2: $8x+28=2x+22+6x+6$
Step 3: $8x+28=8x+28$
Step 4: Subtracting $8x$ from both sides, $8x-8x+28=8x-8x+28$
Step 5: Simplifying, $28=28$
Step 6: Subtracting $28$ from both sides,
$28-28=28-28$
Step 7: $0=0$
Step 8: As a result, the equation is an identity and the solution set is {all real numbers}.
