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2/(x+5)-4/(x+5)= 3/(2x-1)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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2x+5 −4x+5 =32x−1

Solution

x=−137

Decimal

x=−1.85714…

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Solution steps

One step at a time

2x+5 −4x+5 =32x−1

Multiply by LCM

−4x+2=3x+15

Move 2 to the right side

−4x=3x+13

Move 3x to the left side

−7x=13

Divide both sides by −7

x=−137

Verify Solutions

Find undefined (singularity) points: x=−5, x=12

Combine undefined points with solutions:

x=−137

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

2/(x+5)-4/(x+5)= 3/(2x-1)

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