Solve for x -5 = square root of 3x-7

Rewrite the equation as .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
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Use to rewrite as .
Simplify the left side.
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Simplify .
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify the right side.
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Raise to the power of .
Solve for .
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Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Exclude the solutions that do not make true.