Explanation:
The object of this problem is to get both sides (to the left and right of the equal sign) of the equation the same value. THIS IS JUST AN EXAMPLE:
4=4.
First thing is to add the like terms together (same variable and/or same exponent). So we do 5x-4x= 1x. (same variable) When we bring 4x to the left side of the equal sign, we bring the 108 to where the 4x was.
NEW EQUATION: 5x-4x=108-45
1x is the same as x. (Basically, 1 times x is x)
EQUATION: x=108-45
108-45= 63
So, x=63. 63 is the answer
Now to make sure the answer is correct, substitute each x in the equation for 63. If both sides have the same value you are correct.
CHECKING WORK: 5 x 63 - 108= 4 x 63 - 45
315 - 108 = 252- 45
207= 207
IT IS CORRECT!
Hope this helps.