2a+30=6a-10

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Solution for 2a+30=6a-10 equation:


Simplifying
2a + 30 = 6a + -10

Reorder the terms:
30 + 2a = 6a + -10

Reorder the terms:
30 + 2a = -10 + 6a

Solving
30 + 2a = -10 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
30 + 2a + -6a = -10 + 6a + -6a

Combine like terms: 2a + -6a = -4a
30 + -4a = -10 + 6a + -6a

Combine like terms: 6a + -6a = 0
30 + -4a = -10 + 0
30 + -4a = -10

Add '-30' to each side of the equation.
30 + -30 + -4a = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -4a = -10 + -30
-4a = -10 + -30

Combine like terms: -10 + -30 = -40
-4a = -40

Divide each side by '-4'.
a = 10

Simplifying
a = 10

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