Answer:
1.55
Step-by-step explanation:
[tex]2(x + 0.7) = 6(x – 0.8)[/tex]
Using the distributive property of addition over multiplication we get
[tex]2x+1.4=6x-4.8[/tex]
Take the like terms to one side and change their signs accordingly
[tex]1.4+4.8=6x-2x[/tex]
[tex]\Rightarrow 6.2=4x[/tex]
[tex]\Rightarrow x=\dfrac{6.2}{4}[/tex]
[tex]\Rightarrow x=1.55[/tex]
The value of [tex]x[/tex] is 1.55.
In order to make sure this value is correct we can substitute the value of x in the equation
[tex]2(1.55+0.7)=6(1.55-0.8)\\\Rightarrow 2\times 2.25=6\times 0.75\\\Rightarrow 4.5=4.5[/tex]
So, both sides are equal hence the value of [tex]x [/tex]is 1.55.
