Answer:
The value of the equation for x is -0.4
Step-by-step explanation:
Consider the provided equation: two thirds(x − 2) = 4x.
The above equation can be written as:
[tex]\frac{2}{3}(x-2)=4x[/tex]
We need to solve the equation for x.
Multiply both the side by 3.
[tex]3\times \frac{2}{3}(x-2)=3\times 4x[/tex]
[tex]2(x-2)=12x[/tex]
Use the distributive property: [tex]a(b+c)=ab+ac[/tex]
[tex]2x-4=12x[/tex]
Subtract 2x from both side of the equation.
[tex]2x-4-2x=12x-2x[/tex]
[tex]-4=10x[/tex]
Divide both the side by 10.
[tex]\frac{-4}{10}=x[/tex]
[tex]x=\frac{-2}{5}[/tex]
Or
[tex]x=-0.4[/tex]
Hence, the value of the equation for x is -0.4
