10x-15a=13-5ax+2a

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Solution for 10x-15a=13-5ax+2a equation:


Simplifying
10x + -15a = 13 + -5ax + 2a

Reorder the terms:
-15a + 10x = 13 + -5ax + 2a

Reorder the terms:
-15a + 10x = 13 + 2a + -5ax

Solving
-15a + 10x = 13 + 2a + -5ax

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-15a + -2a + 10x = 13 + 2a + -2a + -5ax

Combine like terms: -15a + -2a = -17a
-17a + 10x = 13 + 2a + -2a + -5ax

Combine like terms: 2a + -2a = 0
-17a + 10x = 13 + 0 + -5ax
-17a + 10x = 13 + -5ax

Add '5ax' to each side of the equation.
-17a + 5ax + 10x = 13 + -5ax + 5ax

Combine like terms: -5ax + 5ax = 0
-17a + 5ax + 10x = 13 + 0
-17a + 5ax + 10x = 13

Add '-10x' to each side of the equation.
-17a + 5ax + 10x + -10x = 13 + -10x

Combine like terms: 10x + -10x = 0
-17a + 5ax + 0 = 13 + -10x
-17a + 5ax = 13 + -10x

Reorder the terms:
-13 + -17a + 5ax + 10x = 13 + -10x + -13 + 10x

Reorder the terms:
-13 + -17a + 5ax + 10x = 13 + -13 + -10x + 10x

Combine like terms: 13 + -13 = 0
-13 + -17a + 5ax + 10x = 0 + -10x + 10x
-13 + -17a + 5ax + 10x = -10x + 10x

Combine like terms: -10x + 10x = 0
-13 + -17a + 5ax + 10x = 0

The solution to this equation could not be determined.

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