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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

Respuesta :

13x−4=−9(4+3x)+12 Given
13x−4=−36−27x+12 distributive property  [-9 (4 + 3x) + 12 = -36 -27x]
13x−4=−24−27x Subtraction property [ -36 + 12 ] = -24
13x + 27x = -24 + 4 collecting like terms 
40x=−20  Addition Property of Equality 
as 13x  + 27 x = 40x and -24 + 4 = -20
x=−1/2 Division Property of Equality
40x / 40 = x and 20 /40 = 1/2 
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13x−4=−36−27x+12: Distributive property

13x−4=−24−27x: Combine like terms

40x=−20: Addition Property of equality

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