6a+5=3a-10

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Solution for 6a+5=3a-10 equation:


Simplifying
6a + 5 = 3a + -10

Reorder the terms:
5 + 6a = 3a + -10

Reorder the terms:
5 + 6a = -10 + 3a

Solving
5 + 6a = -10 + 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.
5 + 6a + -3a = -10 + 3a + -3a

Combine like terms: 6a + -3a = 3a
5 + 3a = -10 + 3a + -3a

Combine like terms: 3a + -3a = 0
5 + 3a = -10 + 0
5 + 3a = -10

Add '-5' to each side of the equation.
5 + -5 + 3a = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 3a = -10 + -5
3a = -10 + -5

Combine like terms: -10 + -5 = -15
3a = -15

Divide each side by '3'.
a = -5

Simplifying
a = -5

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