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Solve the equation square root 2x – 7 + x = 5 algebraically, and justify the solution set

1 Answer

8 votes

Answer:
x=4

Explanation:


2x-7+x=5

Group like terms:


\left(2x+x\right)-7=5

Simplify the arithmetic:


3x-7=5

Add 7 to both sides:


3x-7+7=5+7

Simplify the arithmetic:


3x=5+7

Simplify the arithmetic:


3x=12

Divide both sides by 3:


(3x)/(3)=(12)/(3)

Simplify the fraction:


x=(12)/(3)

Find the greatest common factor of the numerator and denominator:


x=(4\cdot 3)/(1\cdot 3)

Factor out and cancel the greatest common factor and the answer will be:


x=4

User Reid Baker
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