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What is the solution to 42-3(6-x) +30=10x+2(18 +x)?

 Nov 1, 2016

Best Answer 

 #1
avatar+1904 
+7

\(42-3(6-x)+30=10x+2(18+x)\)

 

\(42-18+3x+30=10x+2(18+x)\)

 

\(24+3x+30=10x+2(18+x)\)

 

\(54+3x=10x+2(18+x)\)

 

\(54+3x=10x+36+2x\)

 

\(54+3x=12x+36\)

 

\(54+3x-12x=12x+36-12x\)

 

\(54-9x=12x+36-12x\)

 

\(54-9x=36-0x\)

 

\(54-9x=36-0\)

 

\(54-9x=36\)

 

\(54-9x-54=36-54\)

 

\(-9x-0=36-54\)

 

\(-9x=36-54\)

 

\(-9x=-18\)

 

\(\frac{-9x}{-9}=\frac{-18}{-9}\)

 

\(1x=\frac{-18}{-9}\)

 

\(x=\frac{-18}{-9}\)

 

\(x=\frac{18}{9}\)

 

\(x=\frac{2}{1}\)

 

\(x=2\)

.
 Nov 1, 2016
edited by gibsonj338  Nov 1, 2016
 #1
avatar+1904 
+7
Best Answer

\(42-3(6-x)+30=10x+2(18+x)\)

 

\(42-18+3x+30=10x+2(18+x)\)

 

\(24+3x+30=10x+2(18+x)\)

 

\(54+3x=10x+2(18+x)\)

 

\(54+3x=10x+36+2x\)

 

\(54+3x=12x+36\)

 

\(54+3x-12x=12x+36-12x\)

 

\(54-9x=12x+36-12x\)

 

\(54-9x=36-0x\)

 

\(54-9x=36-0\)

 

\(54-9x=36\)

 

\(54-9x-54=36-54\)

 

\(-9x-0=36-54\)

 

\(-9x=36-54\)

 

\(-9x=-18\)

 

\(\frac{-9x}{-9}=\frac{-18}{-9}\)

 

\(1x=\frac{-18}{-9}\)

 

\(x=\frac{-18}{-9}\)

 

\(x=\frac{18}{9}\)

 

\(x=\frac{2}{1}\)

 

\(x=2\)

gibsonj338 Nov 1, 2016
edited by gibsonj338  Nov 1, 2016
 #2
avatar+445 
+6

Thanks!

DerpofTheAbyss  Nov 1, 2016

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