What is the justification for each step in the solution of the equation?

13x-4=-9 (4+3x) + 12

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13x-4=-9 (4+3x) + 12 Given

13x-4=-36-27x+12

13x-4=-24-27x

40x-4=-24 Addition Property of Equality

40x=-20

x=-12 Division Property of Equality

Answer with Step-by-step explanation:

13x-4 = - 9 (4+3x) + 12 (Given)

13x-4 = - 36-27x+12 (Distributive property: - 9 (4+3x) = - 36-27x)

13x-4 = - 24-27x (combining like terms on each side: - 36+12 = - 24)

40x-4=-24 (Addition Property of Equality: adding 27x on both sides)

40x = - 20 (Addition Property of Equality: adding 4 on both sides)

x = - 1/2 (Division Property of Equality: dividing both sides by 40)

13x-4=-36-27x+12: Distributive property

13x-4=-24-27x: Combine like terms

40x=-20: Addition Property of equality