2a+13=5a+1

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Solution for 2a+13=5a+1 equation:


Simplifying
2a + 13 = 5a + 1

Reorder the terms:
13 + 2a = 5a + 1

Reorder the terms:
13 + 2a = 1 + 5a

Solving
13 + 2a = 1 + 5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5a' to each side of the equation.
13 + 2a + -5a = 1 + 5a + -5a

Combine like terms: 2a + -5a = -3a
13 + -3a = 1 + 5a + -5a

Combine like terms: 5a + -5a = 0
13 + -3a = 1 + 0
13 + -3a = 1

Add '-13' to each side of the equation.
13 + -13 + -3a = 1 + -13

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

Combine like terms: 1 + -13 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4

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