a+(5+53a)=2a+-7

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Solution for a+(5+53a)=2a+-7 equation:


Simplifying
a + (5 + 53a) = 2a + -7

Remove parenthesis around (5 + 53a)
a + 5 + 53a = 2a + -7

Reorder the terms:
5 + a + 53a = 2a + -7

Combine like terms: a + 53a = 54a
5 + 54a = 2a + -7

Reorder the terms:
5 + 54a = -7 + 2a

Solving
5 + 54a = -7 + 2a

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.
5 + 54a + -2a = -7 + 2a + -2a

Combine like terms: 54a + -2a = 52a
5 + 52a = -7 + 2a + -2a

Combine like terms: 2a + -2a = 0
5 + 52a = -7 + 0
5 + 52a = -7

Add '-5' to each side of the equation.
5 + -5 + 52a = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 52a = -7 + -5
52a = -7 + -5

Combine like terms: -7 + -5 = -12
52a = -12

Divide each side by '52'.
a = -0.2307692308

Simplifying
a = -0.2307692308

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