x+3a=15+ax-7a

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Solution for x+3a=15+ax-7a equation:


Simplifying
x + 3a = 15 + ax + -7a

Reorder the terms:
3a + x = 15 + ax + -7a

Reorder the terms:
3a + x = 15 + -7a + ax

Solving
3a + x = 15 + -7a + ax

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.
3a + 7a + x = 15 + -7a + 7a + ax

Combine like terms: 3a + 7a = 10a
10a + x = 15 + -7a + 7a + ax

Combine like terms: -7a + 7a = 0
10a + x = 15 + 0 + ax
10a + x = 15 + ax

Add '-1ax' to each side of the equation.
10a + -1ax + x = 15 + ax + -1ax

Combine like terms: ax + -1ax = 0
10a + -1ax + x = 15 + 0
10a + -1ax + x = 15

Add '-1x' to each side of the equation.
10a + -1ax + x + -1x = 15 + -1x

Combine like terms: x + -1x = 0
10a + -1ax + 0 = 15 + -1x
10a + -1ax = 15 + -1x

Reorder the terms:
-15 + 10a + -1ax + x = 15 + -1x + -15 + x

Reorder the terms:
-15 + 10a + -1ax + x = 15 + -15 + -1x + x

Combine like terms: 15 + -15 = 0
-15 + 10a + -1ax + x = 0 + -1x + x
-15 + 10a + -1ax + x = -1x + x

Combine like terms: -1x + x = 0
-15 + 10a + -1ax + x = 0

The solution to this equation could not be determined.

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