Gwyneth begins solving for x in the equation 2(x-4)=5(4-2x)+4x. After applying the distributive property and combining like term
s, which equation will Gwyneth have to solve in order to determine the value of x?
2 answers:
Answer:
2x-8 = 20-6x
Step-by-step explanation:
The distributive property tells us to multiply the term outside parentheses by everything inside:
2(x-4) = 5(4-2x)+4x
2(x)+2(-4) = 5(4)+5(-2x)+4x
2x-8 = 20-10x+4x
Combining like terms on the right gives us
2x-8 = 20-6x
we have
2(x-4)=5(4-2x)+4x
2x-4*2=5*4-5*2x+4x
2x-8=20-10x+4x
2x+10x-4x=20+8
8x=28------------> equation to solve
x=28/8
the answer is
8x=28
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The son is 8. I’m not sure if I’m right hope this helps
