Answer:
-3.21538461538
Step-by-step explanation:
[tex]\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}[/tex]
[tex]\mathrm{Multiply\;both\;sides\;by\;5}:[/tex] [tex]5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5[/tex]
[tex]\mathrm{Now\;we\;have\;}:[/tex] [tex]25+25x=12x-\frac{84}{5}[/tex]
[tex]\mathrm{Subtract\;by\;sides\;by\;25}:[/tex] [tex]25+25x-25=12x-\frac{84}{5}-25[/tex]
[tex]\mathrm{Thus\;we\;have}:[/tex] [tex]25x=12x-\frac{209}{5}[/tex]
[tex]\mathrm{Subtracting\;12x\;from\;both\;sides}:[/tex] [tex]25x-12x=12x-\frac{209}{5}-12x[/tex]
[tex]\mathrm{So\;then\;we\;have:}[/tex] [tex]13x=-\frac{209}{5}[/tex]
[tex]\mathrm{Now\;divide\;both\;sides\;by\;13}:[/tex] [tex]\frac{13x}{13}=\frac{-\frac{209}{5}}{13}[/tex]
[tex]\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}[/tex]
[tex]\mathrm{Decimal\;form}:-3.21538461538[/tex]
Kavinsky
