What is the solution to this equation?1. 2x+45-78=4x+6x-0

1. 2x + 45 - 78 = 4x + 6x -
0

The -0 doesn't change the value and is not
necessary.(I'll keep it in case you need it, though.)

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First, combine like
terms on each side of the
equation.

2x +
45 - 78 = 4x + 6x -
0

2x - 33 = 10x -
0

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Second, move the
variables (letters) to one side - with their coefficients,  of course.*You can do this
in 2 steps or one.

(Remember
that anything you do to one side of the equation must be done to the other side
& that the sides are split by the equal sign.)

2x -
33 = 10x - 0

-2x          
-2x

-33 = 8x -
0

+0         
+0

-33 = 8x     OR 8x =
-33

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Third, Isolate the
variable -- divide to
solve.

8x
= -33

8x/8 =
-33/8

x =
-33/3

2.
67-77x=0

Don't need
first step in this
problem.

Second

67 -77x = 0 OR 67 -77x = 0

-67           -67                       +77x  
+77x

-77x = -67              
OR 67 =
77x

Third

-77x
= -67               OR 67 =
77x

-77x/-77 = -67/-77  OR
67/77 = 77x/77

x = -67/-77= 67/77
OR 67/77 = x

3. 87
+ 99 - 2y + y =
56y

First

87
+ 99 - 2y + y = 56y  (y is just 1y)

186       -
y          =56y  (-y can be written as
-1y)

Second

186
- y = 56y

+y      +y

186 =
57y

Third

186/57
= 57y/57

186/57 = y

**
Remember on tests especially: you can always but that answer back in for "X" in the
original problem & both sides will be equal!