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#
Question:

Solve for x: 3(x+1)=5(x−2)+7

A
3

Explaination

Begin by distributing the 3 and the 5 through their respective parentheses, then combine like terms on each side of the equal sign:

3(x+1)=5(x−2)+7

3x+3=5x−10+7

3x+3=5x−3

Add 3 to both sides to maintain the equality:

3x+6=5x

Subtract 3x from both sides and then divide the resulting equation by 2 to solve for x as follows:

6=2x

3=x

Remember that any time a variable is solved for in an equation, the calculated value can be verified by substituting it into the original equation and determining whether it yields a true statement.

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