Question

Directions:Solve this equation


`5 + 5x= 12x - (12)/(5) * 7/ 5`
Thanks to whoever answers! <3​

Answer 1

-3.21538461538

Explanation:

`\mathrm{Equation\;Given:}\; 5+5x=(12x-(12)/(5)\cdot \:7)/(5)`

`\mathrm{Multiply\;both\;sides\;by\;5}:`
`5\cdot \:5+5x\cdot \:5=(12x-(12)/(5)\cdot \:7)/(5)\cdot \:5`

`\mathrm{Now\;we\;have\;}:`
`25+25x=12x-(84)/(5)`

`\mathrm{Subtract\;by\;sides\;by\;25}:`
`25+25x-25=12x-(84)/(5)-25`

`\mathrm{Thus\;we\;have}:`
`25x=12x-(209)/(5)`

`\mathrm{Subtracting\;12x\;from\;both\;sides}:`
`25x-12x=12x-(209)/(5)-12x`

`\mathrm{So\;then\;we\;have:}`
`13x=-(209)/(5)`

`\mathrm{Now\;divide\;both\;sides\;by\;13}:`
`(13x)/(13)=(-(209)/(5))/(13)`

`\mathrm{Hence\;we\;have}:\;\;x=-(209)/(65)`

`\mathrm{Decimal\;form}:-3.21538461538`

Kavinsky