Answer:
x = 9/4 = 2.25
Step-by-step explanation:
First thing to do when solving this equation would be to expand the brackets.
Because the sign in front of the brackets it a negative/minus, it means that we have to reverse the signs of both numbers inside (i.e. positive numbers become negative and vice versa):
[tex]2x-(+4-x)=5-x\\2x-4+x=5-x[/tex]
Next, we can move all the x-terms to one side and the constants to the other so we can solve for a numerical constant value of x.
To do this we will first combine like terms (x's and x's etc.), and then subtract or add that value from both sides. This allows us to move terms to the other side without changing the equation (both sides are still equal):
[tex]2x+x-4=5-x\\3x-4=5-x\\3x-4+4=5-x+4\\3x=5+4-x\\3x+x=9-x+x\\4x=9\\4x/4=9/4\\x=\frac{9}{4} =2.25[/tex]
We can also test this answer by substituting it back into the original equation for 'x':
[tex]2(2.25)-(4-2.25)=5-2.25\\4.5-1.75=2.75\\2.75=2.75[/tex]
In which case the equation checks out, meaning we got the correct answer.
Hope this helped!
