x = 6.5
Explanation:
[tex]\sf 23 - 2x = 10[/tex]
subtract 23 from both sides
[tex]\rightarrow \sf 23-2x-23=10-23[/tex]
simplify the following
[tex]\rightarrow \sf -2x=-13[/tex]
divide both sides by -2
[tex]\rightarrow \sf \dfrac{-2x}{-2}=\dfrac{-13}{-2}[/tex]
simplify
[tex]\rightarrow \sf x=\dfrac{13}{2}[/tex]
in decimals
[tex]\sf \rightarrow x = 6.5[/tex]
Recheck the following
[tex]\hookrightarrow \mathrm{23 - 2(6.5) = 10}[/tex]
[tex]\hookrightarrow \mathrm{23 -13 = 10}[/tex]
[tex]\hookrightarrow \mathrm{10 = 10}[/tex]
L.H.S = R.H.S thus. x = 6.5
