3b-2a+6=10a-4b-10

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Solution for 3b-2a+6=10a-4b-10 equation:


Simplifying
3b + -2a + 6 = 10a + -4b + -10

Reorder the terms:
6 + -2a + 3b = 10a + -4b + -10

Reorder the terms:
6 + -2a + 3b = -10 + 10a + -4b

Solving
6 + -2a + 3b = -10 + 10a + -4b

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
6 + -2a + -10a + 3b = -10 + 10a + -10a + -4b

Combine like terms: -2a + -10a = -12a
6 + -12a + 3b = -10 + 10a + -10a + -4b

Combine like terms: 10a + -10a = 0
6 + -12a + 3b = -10 + 0 + -4b
6 + -12a + 3b = -10 + -4b

Add '-6' to each side of the equation.
6 + -12a + -6 + 3b = -10 + -6 + -4b

Reorder the terms:
6 + -6 + -12a + 3b = -10 + -6 + -4b

Combine like terms: 6 + -6 = 0
0 + -12a + 3b = -10 + -6 + -4b
-12a + 3b = -10 + -6 + -4b

Combine like terms: -10 + -6 = -16
-12a + 3b = -16 + -4b

Add '-3b' to each side of the equation.
-12a + 3b + -3b = -16 + -4b + -3b

Combine like terms: 3b + -3b = 0
-12a + 0 = -16 + -4b + -3b
-12a = -16 + -4b + -3b

Combine like terms: -4b + -3b = -7b
-12a = -16 + -7b

Divide each side by '-12'.
a = 1.333333333 + 0.5833333333b

Simplifying
a = 1.333333333 + 0.5833333333b

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