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To make the process of solving (1)/(2)x-4x=(1)/(3)x easier, by what number can both sides of the equation be multiplied?

User EsbenB
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Final answer:

To make the process of solving this equation easier, we can multiply both sides of the equation by a certain number. In this case, we need to find a number that can be multiplied to both sides of the equation to eliminate any fractions. So, we can multiply both sides of the equation by 6 to get rid of the fractions and make the equation easier to solve.

Step-by-step explanation:

To make the process of solving this equation easier, we can multiply both sides of the equation by a certain number. In this case, we need to find a number that can be multiplied to both sides of the equation to eliminate any fractions. To do this, we find the least common multiple (LCM) of the denominators in the equation, which is 6 in this case. So, we can multiply both sides of the equation by 6 to get rid of the fractions and make the equation easier to solve.

Multiplying both sides of the equation by 6, we get: 6*((1)/(2)x) - 6*4x = 6*((1)/(3)x)

Simplifying the equation, we have: 3x - 24x = 2x

Now, we can continue solving the equation without fractions.

User Julien Carsique
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