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justifying equations
step | reason |
---|---|
3(x +4)= 18 | given |
3(x +4)= 18 to 3x +12= 18 | distributive property |
3x +12= 18 to 3x + 12 - 12 = 18 - 12 | S.P.O.E. |
3x + 12 - 12 = 18 - 12 to 3x + 0 = 18 - 12 | additive inverse |
3x + 0 = 18 - 12 to 3x = 18 - 12 | additive identity |
3x = 18 - 12 to 3x = 6 | numerical subtraction |
3x = 6 to 3x/ 3 = 6/3 | D.P.O.E. |
3x/ 3 = 6/3 to 1x= 6/3 | multiplicative inverse |
1x= 6/3 to x= 6/3 | multiplicative identity |
x= 6/3 to x=2 | division |