3a+2=9a-10

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Solution for 3a+2=9a-10 equation:


Simplifying
3a + 2 = 9a + -10

Reorder the terms:
2 + 3a = 9a + -10

Reorder the terms:
2 + 3a = -10 + 9a

Solving
2 + 3a = -10 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
2 + 3a + -9a = -10 + 9a + -9a

Combine like terms: 3a + -9a = -6a
2 + -6a = -10 + 9a + -9a

Combine like terms: 9a + -9a = 0
2 + -6a = -10 + 0
2 + -6a = -10

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

Combine like terms: 2 + -2 = 0
0 + -6a = -10 + -2
-6a = -10 + -2

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

Divide each side by '-6'.
a = 2

Simplifying
a = 2

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