6a+10=3a-8

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Solution for 6a+10=3a-8 equation:


Simplifying
6a + 10 = 3a + -8

Reorder the terms:
10 + 6a = 3a + -8

Reorder the terms:
10 + 6a = -8 + 3a

Solving
10 + 6a = -8 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
10 + 6a + -3a = -8 + 3a + -3a

Combine like terms: 6a + -3a = 3a
10 + 3a = -8 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + 3a = -8 + 0
10 + 3a = -8

Add '-10' to each side of the equation.
10 + -10 + 3a = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = -8 + -10
3a = -8 + -10

Combine like terms: -8 + -10 = -18
3a = -18

Divide each side by '3'.
a = -6

Simplifying
a = -6

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