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

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Answer 1 · 2018-04-15T13:23:34

$a = \frac{5}{2}$ $color(brown)(a = 5/2$

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

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

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

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

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

$12 = 2a + 7$

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

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

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