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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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