Concept:Solving a linear equation by expanding brackets, collecting like terms, and isolating x.Explanation:Start with the given equation:2x=5(x−2)+7Expand the bracket by multiplying each term inside by 5:2x=5x−10+7Simplify the constants on the right side:2x=5x−3Bring all x terms to one side by subtracting 5x from both sides:2x−5x=−3−3x=−3Divide both sides by −3:x=−3−3=1Answer:x=1Correct option: C. 1