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What value of x satisfies the equation -3(4x-5)=2(1-5x)?

User Pablo Yabo
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2 Answers

1 vote
-3(4x-5)=2(1-5x)
-12x+15=2-10x
-2x+15=2
-2x=-13
x=13/2
User MariusBudin
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8.3k points
2 votes


\:\:\:\:\:\small\underline{ \boxed{\bf{ -3(4x-5)=2(1-5x)}}}\\


\:\:\:\:\:\:\longrightarrow \sf {-12x + 15 = 2-10x}\\


\:\:\:\:\:\:\longrightarrow\sf {-12x +10x = 2-15}\\


\:\:\:\:\:\:\longrightarrow \sf {-2x = -13}\\


\:\:\:\:\:\:\longrightarrow \sf {2x = 13}\\


\:\:\:\:\:\:\longrightarrow \sf { x = (13)/(2)}\\


\:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{x=(13)/(2)}}}}\\


\\ \therefore \underline{ \cal{ \pmb{The \:value \: of \:x \: is \: \frak{\purple{ (13)/(2)\: }. }}}}\\

User PradeepK
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