2x-5+3a-5x+10a=0

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Solution for 2x-5+3a-5x+10a=0 equation:


Simplifying
2x + -5 + 3a + -5x + 10a = 0

Reorder the terms:
-5 + 3a + 10a + 2x + -5x = 0

Combine like terms: 3a + 10a = 13a
-5 + 13a + 2x + -5x = 0

Combine like terms: 2x + -5x = -3x
-5 + 13a + -3x = 0

Solving
-5 + 13a + -3x = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 13a + 5 + -3x = 0 + 5

Reorder the terms:
-5 + 5 + 13a + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 13a + -3x = 0 + 5
13a + -3x = 0 + 5

Combine like terms: 0 + 5 = 5
13a + -3x = 5

Add '3x' to each side of the equation.
13a + -3x + 3x = 5 + 3x

Combine like terms: -3x + 3x = 0
13a + 0 = 5 + 3x
13a = 5 + 3x

Divide each side by '13'.
a = 0.3846153846 + 0.2307692308x

Simplifying
a = 0.3846153846 + 0.2307692308x

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