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. 

$3x+2\left(x-5\right)=50$ 

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

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

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

$2\cdot \:x+2\left(-5\right)$ 

$\mathrm{Apply\:minus-plus\:rules}$ 

$\:\:+\left(-a\right)=-a$ 

$2x-2\cdot \:5$ 

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

$2x-10$ 

$3x+2x-10=50$ 

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

$5x-10=50$ 

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

$5x-10+10=50+10$ 

$\mathrm{Simplify}$ 

$5x=60$ 

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

$\dfrac{5x}{5}=\dfrac{60}{5}$ 

$\mathrm{Simplify}$ 

$x=12$ 

Hope this helps, 

      AnthrαX