Answer:
x = 10
Step-by-step explanation:
We are given the following equation:
[tex]8x + 5(2x+3) = 195[/tex],
and told to find [tex]x[/tex].
In order to calculate the value of [tex]x[/tex], we have to rearrange the equation to make [tex]x[/tex] the subject:
[tex]8x + 5(2x+3) = 195[/tex]
⇒ [tex]8x + (5 \times 2x) + (5 \times 3) = 195[/tex] [Distributing 5 into the brackets]
⇒ [tex]8x + 10x + 15 = 195[/tex]
⇒ [tex]18x + 15 = 195[/tex]
⇒ [tex]18x + 15 - 15 = 195 - 15[/tex] [Subtracting 15 from both sides of equation]
⇒ [tex]18x = 180[/tex]
⇒ [tex]\frac{18}{18}x = \frac{180}{18}[/tex] [Dividing both sides of equation by 18]
⇒ [tex]x = \bf 10[/tex]
Therefore, the value of x is 10.
