-3b-2(b-6a)-13a+3c=5c

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Solution for -3b-2(b-6a)-13a+3c=5c equation:


Simplifying
-3b + -2(b + -6a) + -13a + 3c = 5c

Reorder the terms:
-3b + -2(-6a + b) + -13a + 3c = 5c
-3b + (-6a * -2 + b * -2) + -13a + 3c = 5c
-3b + (12a + -2b) + -13a + 3c = 5c

Reorder the terms:
12a + -13a + -3b + -2b + 3c = 5c

Combine like terms: 12a + -13a = -1a
-1a + -3b + -2b + 3c = 5c

Combine like terms: -3b + -2b = -5b
-1a + -5b + 3c = 5c

Solving
-1a + -5b + 3c = 5c

Solving for variable 'a'.

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

Add '5b' to each side of the equation.
-1a + -5b + 5b + 3c = 5b + 5c

Combine like terms: -5b + 5b = 0
-1a + 0 + 3c = 5b + 5c
-1a + 3c = 5b + 5c

Add '-3c' to each side of the equation.
-1a + 3c + -3c = 5b + 5c + -3c

Combine like terms: 3c + -3c = 0
-1a + 0 = 5b + 5c + -3c
-1a = 5b + 5c + -3c

Combine like terms: 5c + -3c = 2c
-1a = 5b + 2c

Divide each side by '-1'.
a = -5b + -2c

Simplifying
a = -5b + -2c

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