Zachary is solving the following equation. 3/4 (x-8)= 12 Which is the best first step to begin to simplify the equation Multipliy both sides of the equation by 3/4 Divide both sides of the equation by 4/3 Distribute 3/4 over (x-8). Distribute 4/3 over (x-8)

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altavistard altavistard · Answer 1 · 2018-06-13T22:33:13+02:00

Remove fractions. Starting with (3/4)(x-8) = 12, mult. both sides by (4/3):

(4/3)(3/4)(x-8) = 12(4/3)

Then: x-8 = 16, and x = 24.

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lublana lublana · Answer 2 · 2019-09-17T19:23:17+02:00

Answer:

C.Distribute [tex]\frac{3}{4}[/tex] over (x-8).

Step-by-step explanation:

We are given that Zachary is solving an equation

[tex]\frac{3}{4}(x-8)=12[/tex]

We have to find that which best first step to begin to simplify the equation.

If distribute [tex]\frac{3}{4}[/tex] over (x-8)

Distributive property:[tex]a\cdot(b+c)=a\cdotb+a\cdot c[/tex]

Using this property

Then, we get

[tex]\frac{3}{4}x-6=12[/tex]

[tex]\frac{3}{4}x=12+6[/tex]

Using subtractive property of equality

[tex]\frac{3}{4}x=18[/tex]

[tex]x=\frac{18\times 4}{3}=24[/tex]

[tex]x=24[/tex]

Hence, First best step is distribute [tex]\frac{3}{4}[/tex] over (x-8) to begin to simplify the equation

Answer:C.Distribute [tex]\frac{3}{4}[/tex] over (x-8).