Answer:
x = 1
Step-by-step explanation:
For the equation given, we have to solve for the value of "x".
First, when simplifying, we will need the distributive property shown below:
Distributive Property:
a(b - c) = ab - ac
Now, lets do algebra:
[tex]-x + 3 = 2(3 - 2x)\\-x+3=2(3)-2(2x)\\-x+3=6-4x\\-x+4x=6-3\\3x=3\\x=\frac{3}{3}\\x=1[/tex]
The value of x is 1
Lets substitute x = 1 into equation to check:
-x + 3 = 2(3-2x)
LEFT SIDE:
-(1) + 3
= -1 + 3
=2
RIGHT SIDE:
2(3-2x)
2(3-2(1))
=2(3-2)
=2(1)
= 2
This is indeed the solution since left hand side equals right hand side