What is the justification for the step taken from line 2 to line 3?

5 lines of math. The first line has, 3 x plus 9 minus 7 x equals x plus 10 plus x. The second line has, negative 4 x plus 9 equals 2 x plus 10. An arrow pointing from the front of the second line to the front of the third line. The third line has, negative 6 x plus 9 equals 10. The fourth line has, negative 6 x equals 1. The last line has x equals negative StartFraction 1 Over 6 EndFraction.

the subtraction property of equality
the multiplication property of equality
combining like terms on one side of the equation
the distributive property

2 answers

It would be easier to understand by using the symbols, for example:

3x + 9 - 7x = x + 10 + x

-4x + 9 = 2x + 10

-1 = 6x then x = -1/6

"x equals negative StartFraction 1 Over 6 EndFraction" See above.

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