5a+11=3a-2

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


Simplifying
5a + 11 = 3a + -2

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

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

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

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

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

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

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

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

Divide each side by '2'.
a = -6.5

Simplifying
a = -6.5

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