Question

Solve for x, 52x + 52 - 21 = 2x + 3x - 52

Answer 1

Answer:

$52x+52-21=2x+3x-52\quad :\quad x=-\dfrac{83}{47}\quad \left(\mathrm{Decimal}:\quad x=-1.76596\dots \right)$

Step-by-step explanation:

$52x+52-21=2x+3x-52$

$\mathrm{Add/Subtract\:the\:numbers:}\:52-21=31$

$52x+31=2x+3x-52$

$\mathrm{Add\:similar\:elements:}\:2x+3x=5x$

$52x+31=5x-52$

$\mathrm{Subtract\:}31\mathrm{\:from\:both\:sides}$

$52x+31-31=5x-52-31$

$\mathrm{Simplify}$

$52x=5x-83$

$\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}$

$52x-5x=5x-83-5x$

$\mathrm{Simplify}$

$47x=-83$

$\mathrm{Divide\:both\:sides\:by\:}47$

$\dfrac{47x}{47}=\dfrac{-83}{47}$

$\mathrm{Simplify}$

$x=-\dfrac{83}{47}$

Answer 2

$\mathfrak{\red{\underline{\underline{Quation}}}}$

Solve for x, 52x + 52 - 21 = 2x + 3x - 52.

$\mathfrak{\red{\underline{\underline{Answer}}}}$

$\boxed{ -\dfrac{83}{47}}$

$\mathfrak{\red{\underline{\underline{Srep\: By\: Step\: Suction}}}}$

52x + 52 - 21 = 2x + 3x - 52

Adding/Subtracting all similar terms

52x + 31= 5x - 52

Reordering all the terms

52x - 5x = -52 - 31

Solving

47x = -83

Solving for variable x

x =$\dfrac{-83}{47}$