2x+5a=15x-3a

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Solution for 2x+5a=15x-3a equation:


Simplifying
2x + 5a = 15x + -3a

Reorder the terms:
5a + 2x = 15x + -3a

Reorder the terms:
5a + 2x = -3a + 15x

Solving
5a + 2x = -3a + 15x

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
5a + 3a + 2x = -3a + 3a + 15x

Combine like terms: 5a + 3a = 8a
8a + 2x = -3a + 3a + 15x

Combine like terms: -3a + 3a = 0
8a + 2x = 0 + 15x
8a + 2x = 15x

Add '-2x' to each side of the equation.
8a + 2x + -2x = 15x + -2x

Combine like terms: 2x + -2x = 0
8a + 0 = 15x + -2x
8a = 15x + -2x

Combine like terms: 15x + -2x = 13x
8a = 13x

Divide each side by '8'.
a = 1.625x

Simplifying
a = 1.625x

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