5a-2=3a+11

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Solution for 5a-2=3a+11 equation:


Simplifying
5a + -2 = 3a + 11

Reorder the terms:
-2 + 5a = 3a + 11

Reorder the terms:
-2 + 5a = 11 + 3a

Solving
-2 + 5a = 11 + 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.
-2 + 5a + -3a = 11 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-2 + 2a = 11 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + 2a = 11 + 0
-2 + 2a = 11

Add '2' to each side of the equation.
-2 + 2 + 2a = 11 + 2

Combine like terms: -2 + 2 = 0
0 + 2a = 11 + 2
2a = 11 + 2

Combine like terms: 11 + 2 = 13
2a = 13

Divide each side by '2'.
a = 6.5

Simplifying
a = 6.5

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