Question

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

Answer 1

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Answer 2

$5 - \dfrac{2(x -4)}{3}= \dfrac{1}{2} (2x + 3)$

Combine into single fraction:

$\dfrac{15 - 2(x -4)}{3}= \dfrac{2x + 3}{2}$

Distribue -2:

$\dfrac{15 - 2x +8 }{3}= \dfrac{2x + 3}{2}$

Combine like terms:

$\dfrac{23 - 2x}{3}= \dfrac{2x + 3}{2}$

Cross-multiply:

$2(23 - 2x) = 3(2x + 3)$

Distribute 2 and 3:

$46 - 4x= 6x + 9$

Add 4x to both sides:

$46 = 10x + 9$

Subtract 9 from both sides:

$37 = 10x$

Switch sides:

$10x = 37$

Divide both sides by 10:

$x = \dfrac{37}{10}$