(6a-54)-(5a-27)=23

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Solution for (6a-54)-(5a-27)=23 equation:


Simplifying
(6a + -54) + -1(5a + -27) = 23

Reorder the terms:
(-54 + 6a) + -1(5a + -27) = 23

Remove parenthesis around (-54 + 6a)
-54 + 6a + -1(5a + -27) = 23

Reorder the terms:
-54 + 6a + -1(-27 + 5a) = 23
-54 + 6a + (-27 * -1 + 5a * -1) = 23
-54 + 6a + (27 + -5a) = 23

Reorder the terms:
-54 + 27 + 6a + -5a = 23

Combine like terms: -54 + 27 = -27
-27 + 6a + -5a = 23

Combine like terms: 6a + -5a = 1a
-27 + 1a = 23

Solving
-27 + 1a = 23

Solving for variable 'a'.

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

Add '27' to each side of the equation.
-27 + 27 + 1a = 23 + 27

Combine like terms: -27 + 27 = 0
0 + 1a = 23 + 27
1a = 23 + 27

Combine like terms: 23 + 27 = 50
1a = 50

Divide each side by '1'.
a = 50

Simplifying
a = 50

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