2a+1=3a-5

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Solution for 2a+1=3a-5 equation:


Simplifying
2a + 1 = 3a + -5

Reorder the terms:
1 + 2a = 3a + -5

Reorder the terms:
1 + 2a = -5 + 3a

Solving
1 + 2a = -5 + 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.
1 + 2a + -3a = -5 + 3a + -3a

Combine like terms: 2a + -3a = -1a
1 + -1a = -5 + 3a + -3a

Combine like terms: 3a + -3a = 0
1 + -1a = -5 + 0
1 + -1a = -5

Add '-1' to each side of the equation.
1 + -1 + -1a = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -1a = -5 + -1
-1a = -5 + -1

Combine like terms: -5 + -1 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6

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