10y-35+3ax=5ax-7a

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Solution for 10y-35+3ax=5ax-7a equation:


Simplifying
10y + -35 + 3ax = 5ax + -7a

Reorder the terms:
-35 + 3ax + 10y = 5ax + -7a

Reorder the terms:
-35 + 3ax + 10y = -7a + 5ax

Solving
-35 + 3ax + 10y = -7a + 5ax

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '7a' to each side of the equation.
-35 + 3ax + 7a + 10y = -7a + 7a + 5ax

Reorder the terms:
-35 + 7a + 3ax + 10y = -7a + 7a + 5ax

Combine like terms: -7a + 7a = 0
-35 + 7a + 3ax + 10y = 0 + 5ax
-35 + 7a + 3ax + 10y = 5ax

Add '-5ax' to each side of the equation.
-35 + 7a + 3ax + -5ax + 10y = 5ax + -5ax

Combine like terms: 3ax + -5ax = -2ax
-35 + 7a + -2ax + 10y = 5ax + -5ax

Combine like terms: 5ax + -5ax = 0
-35 + 7a + -2ax + 10y = 0

Add '35' to each side of the equation.
-35 + 7a + -2ax + 35 + 10y = 0 + 35

Reorder the terms:
-35 + 35 + 7a + -2ax + 10y = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 7a + -2ax + 10y = 0 + 35
7a + -2ax + 10y = 0 + 35

Combine like terms: 0 + 35 = 35
7a + -2ax + 10y = 35

Add '-10y' to each side of the equation.
7a + -2ax + 10y + -10y = 35 + -10y

Combine like terms: 10y + -10y = 0
7a + -2ax + 0 = 35 + -10y
7a + -2ax = 35 + -10y

Reorder the terms:
-35 + 7a + -2ax + 10y = 35 + -10y + -35 + 10y

Reorder the terms:
-35 + 7a + -2ax + 10y = 35 + -35 + -10y + 10y

Combine like terms: 35 + -35 = 0
-35 + 7a + -2ax + 10y = 0 + -10y + 10y
-35 + 7a + -2ax + 10y = -10y + 10y

Combine like terms: -10y + 10y = 0
-35 + 7a + -2ax + 10y = 0

The solution to this equation could not be determined.

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