How do you solve #3x-51=-2x+59#?
1) Combine Like terms by transposition of terms. [Remember to reverse the signs when transposing]
By combining like terms, you should get
2) Divide by
This is a topic of mathematical transpositions. The main goal of transposing is grouping variables and constants on different sides for easier evaluation without disrupting the equality of the whole system/equation.
For this example, we can group all terms with the
This would specifically mean that
Take note that the transposed terms
If we transpose
And we can see that the equality of the whole equation is maintained. In essence, the mathematical operation performed in the transposition can be done by subtracting