(6a-4)=(3a+53)

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Solution for (6a-4)=(3a+53) equation:


Simplifying
(6a + -4) = (3a + 53)

Reorder the terms:
(-4 + 6a) = (3a + 53)

Remove parenthesis around (-4 + 6a)
-4 + 6a = (3a + 53)

Reorder the terms:
-4 + 6a = (53 + 3a)

Remove parenthesis around (53 + 3a)
-4 + 6a = 53 + 3a

Solving
-4 + 6a = 53 + 3a

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.
-4 + 6a + -3a = 53 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-4 + 3a = 53 + 3a + -3a

Combine like terms: 3a + -3a = 0
-4 + 3a = 53 + 0
-4 + 3a = 53

Add '4' to each side of the equation.
-4 + 4 + 3a = 53 + 4

Combine like terms: -4 + 4 = 0
0 + 3a = 53 + 4
3a = 53 + 4

Combine like terms: 53 + 4 = 57
3a = 57

Divide each side by '3'.
a = 19

Simplifying
a = 19

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