Question

What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

Answer 1

Hey Tierra7l,

Lets solve your equation together step by step.


`3x+2\left(x-5\right)=50`


`\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10`


`\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac`


`a=2,\:b=x,\:c=-5`


`2\cdot \:x+2\left(-5\right)`


`\mathrm{Apply\:minus-plus\:rules}`


`\:\:+\left(-a\right)=-a`


`2x-2\cdot \:5`


`\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10`


`2x-10`


`3x+2x-10=50`


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


`5x-10=50`


`\mathrm{Add\:}10\mathrm{\:to\:both\:sides}`


`5x-10+10=50+10`


`\mathrm{Simplify}`


`5x=60`


`\mathrm{Divide\:both\:sides\:by\:}5`


`(5x)/(5)=(60)/(5)`


`\mathrm{Simplify}`


`x=12`

Hope this helps,

AnthrαX