5a+7b+12c=7a+10b+8c

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Solution for 5a+7b+12c=7a+10b+8c equation:


Simplifying
5a + 7b + 12c = 7a + 10b + 8c

Solving
5a + 7b + 12c = 7a + 10b + 8c

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
5a + 7b + -7a + 12c = 7a + 10b + -7a + 8c

Reorder the terms:
5a + -7a + 7b + 12c = 7a + 10b + -7a + 8c

Combine like terms: 5a + -7a = -2a
-2a + 7b + 12c = 7a + 10b + -7a + 8c

Reorder the terms:
-2a + 7b + 12c = 7a + -7a + 10b + 8c

Combine like terms: 7a + -7a = 0
-2a + 7b + 12c = 0 + 10b + 8c
-2a + 7b + 12c = 10b + 8c

Add '-7b' to each side of the equation.
-2a + 7b + -7b + 12c = 10b + -7b + 8c

Combine like terms: 7b + -7b = 0
-2a + 0 + 12c = 10b + -7b + 8c
-2a + 12c = 10b + -7b + 8c

Combine like terms: 10b + -7b = 3b
-2a + 12c = 3b + 8c

Add '-12c' to each side of the equation.
-2a + 12c + -12c = 3b + 8c + -12c

Combine like terms: 12c + -12c = 0
-2a + 0 = 3b + 8c + -12c
-2a = 3b + 8c + -12c

Combine like terms: 8c + -12c = -4c
-2a = 3b + -4c

Divide each side by '-2'.
a = -1.5b + 2c

Simplifying
a = -1.5b + 2c

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