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Solve algebraically showing all steps. √2x−1+7=10

Sagot :

Answer:

x = 5

Step-by-step explanation:

Certainly! Let’s solve the equation step by step.

Given equation: 2x−1​+7=10

Isolate the radical term:

Subtract 7 from both sides of the equation:

(\sqrt{2x - 1} = 10 - 7 = 3)

Square both sides to eliminate the square root:

((\sqrt{2x - 1})^2 = 3^2)

(2x - 1 = 9)

Add 1 to both sides:

(2x = 9 + 1 = 10)

Divide both sides by 2:

(x = \frac{10}{2} = 5)

Therefore, the solution to the equation is (x = 5).