2a+13=3a+17

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Solution for 2a+13=3a+17 equation:


Simplifying
2a + 13 = 3a + 17

Reorder the terms:
13 + 2a = 3a + 17

Reorder the terms:
13 + 2a = 17 + 3a

Solving
13 + 2a = 17 + 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.
13 + 2a + -3a = 17 + 3a + -3a

Combine like terms: 2a + -3a = -1a
13 + -1a = 17 + 3a + -3a

Combine like terms: 3a + -3a = 0
13 + -1a = 17 + 0
13 + -1a = 17

Add '-13' to each side of the equation.
13 + -13 + -1a = 17 + -13

Combine like terms: 13 + -13 = 0
0 + -1a = 17 + -13
-1a = 17 + -13

Combine like terms: 17 + -13 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4

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