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laila [671]
3 years ago
15

What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))

Mathematics
2 answers:
Mamont248 [21]3 years ago
5 0
<span>Step 1: Simplify both sides of the equation.</span>
−(5−(a+1))=9−(5−(2a−3))<span />
−(5−(a+1))=9+−1(5−(2a−3))<span>(Distribute the Negative Sign)</span>−(5−(a+1))=9+(−1)(5)+−1(−2a)+(−1)(3)<span />−(5−(a+1))=9+−5+2a+−3<span />a+−4=9+−5+2a+−3<span>(Distribute)</span>a−4=(2a)+(9+−5+−3)<span>(Combine Like Terms)</span>a−4=2a+1<span />a−4=2a+1<span /><span>Step 2: Subtract 2a from both sides.</span>a−4−2a=2a+1−2a<span />−a−4=1<span /><span>Step 3: Add 4 to both sides.</span>−a−4+4=1+4<span />−a=5<span /><span>Step 4: Divide both sides by -1.</span>−a−1=5−1<span />a=−5<span />
Nastasia [14]3 years ago
3 0

Answer:

a)-5

Step-by-step explanation:

-(5-(a+1))=9-(5-(2a-3))

=    -(5-a-1)= 9-(5-2a+3)

=    -5+a+1 = 9-5+2a-3

=     -4+a = 1+2a

=     -4 - 1 = 2a-a

=     -5 = a

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