2a-3=6a+2

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Solution for 2a-3=6a+2 equation:


Simplifying
2a + -3 = 6a + 2

Reorder the terms:
-3 + 2a = 6a + 2

Reorder the terms:
-3 + 2a = 2 + 6a

Solving
-3 + 2a = 2 + 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.
-3 + 2a + -6a = 2 + 6a + -6a

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

Combine like terms: 6a + -6a = 0
-3 + -4a = 2 + 0
-3 + -4a = 2

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

Combine like terms: -3 + 3 = 0
0 + -4a = 2 + 3
-4a = 2 + 3

Combine like terms: 2 + 3 = 5
-4a = 5

Divide each side by '-4'.
a = -1.25

Simplifying
a = -1.25

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