4(2x-8) = -(2-3x) i need help

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asked Nov 21, 2023 190k views

2 votes

4(2x-8) = -(2-3x) i need help

Mathematics
college

Leatrice asked

by Leatrice

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2 Answers

7 votes

X = 6
4(2x - 8) = -(2 - 3x)
8x - 32 = -2 + 3x
5x - 32 = -2
5x = 30
X = 6

Surreal answered Nov 22, 2023

by Surreal

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4 votes

$\begin{gathered} 4\mleft(2x-8\mright)=-\mleft(2-3x\mright) \\ \text{Open the bracket} \\ 4\cdot2x-4\cdot-8=-2--3x\Rightarrow8x-32=-2+3x \\ \text{Put like terms together} \\ \text{Subtract }3x\text{ from both sides, we have:} \\ 8x-3x-32=-2+3x-3x \\ 5x-32=-2 \\ \text{Add 32 to both sides, we have:} \\ 5x-32+32=-2+32 \\ 5x=30 \\ x=6 \end{gathered}$

Bresleveloper answered Nov 27, 2023