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Gwyneth begins solving for x in the equation 2(x-4)=5(4-2x)+4x. After applying the distributive property and combining like terms, which equation will Gwyneth have to solve in order to determine the value of x?

Respuesta :

calculista

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

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