3b - 5b = 2(b + 4)
mutiply the bracket by 2
(2)(b)= 2b
(2)(4)= 8
3b-5b=2b+8
-2b= 2b+8
move 2b to the other side
sign changes from +2b to -2b
-2b-2b= 2b-2b+8
-2b-2b= 8
-4b= 8
divide both sides by -4
-4b/-4= 8/-4
Answer: b= -2
Answer:
[tex]\large \boxed{\text{ b = -2}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}3b - 5b & = & 2(b + 4) &\\-2b & = & 2(b + 4) & \text{Simplified left-hand side}\\-2b &= & 2b + 8 & \text{Distributed the 2}\\-4b & = & 8 & \text{Subtracted 2b from each side}\\b & = & \large \boxed{\mathbf{-2}} & \text{Divided each side by -4}\\\end{array}[/tex]
Check:
[tex]\begin{array}{rcl}3(-2) - 5(-2) & = & 2(-2 + 4)\\-6 - (-10)& = & 2(2)\\-6 + 10 & = & 4\\4 & = & 4\\\end{array}[/tex]
OK.
