How do you solve 3a + 12+ ( - 3a ) = 5a + 7+ ( - 3a )3a+12+(3a)=5a+7+(3a)?

1 Answer
Apr 15, 2018

color(brown)(a = 5/2a=52

Explanation:

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Carryout the operations as per the order above while solving an equation.

3a + 12 + (-3a) = 5a + 7 + (-3a)3a+12+(3a)=5a+7+(3a)

3a + 12 - 3a = 5a + 7 - 3a, " removing brackets"3a+123a=5a+73a, removing brackets

3a - 3a + 12 = 5a - 3a + 7, " rearranging like terms together"3a3a+12=5a3a+7, rearranging like terms together

cancel(3a) - cancel(3a) + 12 = cancel(5a-3a)^color(red)(2a) + 7

12 = 2a + 7

2a = 12 - 7, " separating constants and variables"

2a = 5 " or " a = 5/2