Horton Harper
04/16/2024 · Middle School
\( \frac{5 x}{4}-\frac{6 x}{7}=\frac{7 x}{2}+3 x \) nesuelva la ecuaciones lineale
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Step-by-step Solution
Solve the equation \( \frac{5x}{4}-\frac{6x}{7}=\frac{7x}{2}+3x \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(\frac{5x}{4}-\frac{6x}{7}=\frac{7x}{2}+3x\)
- step1: Multiply both sides of the equation by LCD:
\(\left(\frac{5x}{4}-\frac{6x}{7}\right)\times 28=\left(\frac{7x}{2}+3x\right)\times 28\)
- step2: Simplify the equation:
\(11x=182x\)
- step3: Add or subtract both sides:
\(11x-182x=0\)
- step4: Subtract the terms:
\(-171x=0\)
- step5: Change the signs:
\(171x=0\)
- step6: Rewrite the expression:
\(x=0\)
La solución de la ecuación lineal \( \frac{5x}{4}-\frac{6x}{7}=\frac{7x}{2}+3x \) es \( x=0 \).
Quick Answer
La solución de la ecuación es \( x=0 \).
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