Algebra Examples

${(2 x)}^{\frac{1}{2}} = {(x + 5)}^{\frac{1}{2}}$

Step 1

Since the exponents are equal, the bases of the exponents on both sides of the equation must be equal.

$2 x = x + 5$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Subtract $x$ from both sides of the equation.

$2 x - x = 5$

Step 2.2

Subtract $x$ from $2 x$ .

$x = 5$