-3 (2x + 1)/4 = 3 (x + 4) + 3/4

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Pynt asked Sep 2, 2023

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38 votes

-3 (2x + 1)/4 = 3 (x + 4) + 3/4

Mathematics
high-school

Pynt asked Sep 2, 2023

by Pynt

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2 Answers

18 votes

Answer: x=-3

$(-3(3x+1))/(4) = 3(x+4) +3/4\\(-3x-3)/(4) = 3x+12+3/4\\(-3x-3)/(4)=3x+15/4\\4*(-3x-3)/(4)= 3x+15/4\\ *4\\-3x-3= 3x+15\\+3 +3\\-3x=3x+18\\-3x -3x\\-6x=18\\/-6 -/6 \\x= -3 \\\\$

I think i did this right for you, hopefully this helped

Solujic answered Sep 2, 2023

by Solujic

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4 votes

Answer:

x = -3

Explanation:

$\frac{-3(2x + 1)}4 = 3(x + 4) + \frac34 \text{ // Distribute}\\\\\frac{-6x - 3}4 = 3x + 12 + \frac34 \text{ // Multiply by 4}\\\\-6x - 3 = 12x + 48 + 3\\-6x - 3 = 12x + 51 \text{ // Add 6x and subtract 51}\\-54 = 18x \text{ // Divide by 18}\\-3 = x$