4a+5=2a+13

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Solution for 4a+5=2a+13 equation:


Simplifying
4a + 5 = 2a + 13

Reorder the terms:
5 + 4a = 2a + 13

Reorder the terms:
5 + 4a = 13 + 2a

Solving
5 + 4a = 13 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
5 + 4a + -2a = 13 + 2a + -2a

Combine like terms: 4a + -2a = 2a
5 + 2a = 13 + 2a + -2a

Combine like terms: 2a + -2a = 0
5 + 2a = 13 + 0
5 + 2a = 13

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

Combine like terms: 5 + -5 = 0
0 + 2a = 13 + -5
2a = 13 + -5

Combine like terms: 13 + -5 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4

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