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Solve 2/3 = x/6

How to solve 2/3 = x/6? Get the answer and stepwise instruction to solve linear equation in one variable 𝒙.

Steps for finding the solution

We have 2/3 = x/6

Cross multiplying the ratios, gives

2 × 6 = 3x

or, 3x = 2 × 6

Divide both sides by 3, which is the coefficient of x
Note: if a = b, then a ÷ c = b ÷ c

Therefore, 3x/3 = 2 × 6/3

x = 12/3

To simplify, divide both numerator and denominator by 3, which is the GCF of 12 and 3:

x = 4/1 or, x = 4

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𝒙 =

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