Mullins Mccoy
07/02/2023 · Middle School
a) \( 7 \sqrt{3}+12 x=\sqrt{12}+2 x \)
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Step-by-step Solution
Solve the equation \( 7\sqrt{3}+12x=\sqrt{12}+2x \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(7\sqrt{3}+12x=\sqrt{12}+2x\)
- step1: Simplify the root:
\(7\sqrt{3}+12x=2\sqrt{3}+2x\)
- step2: Move the variable to the left side:
\(7\sqrt{3}+12x-2x=2\sqrt{3}\)
- step3: Subtract the terms:
\(7\sqrt{3}+10x=2\sqrt{3}\)
- step4: Move the constant to the right side:
\(10x=2\sqrt{3}-7\sqrt{3}\)
- step5: Subtract the numbers:
\(10x=-5\sqrt{3}\)
- step6: Divide both sides:
\(\frac{10x}{10}=\frac{-5\sqrt{3}}{10}\)
- step7: Divide the numbers:
\(x=-\frac{\sqrt{3}}{2}\)
La solución de la ecuación \(7\sqrt{3}+12x=\sqrt{12}+2x\) es \(x=-\frac{\sqrt{3}}{2}\).
Quick Answer
\(x=-\frac{\sqrt{3}}{2}\)
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