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 = 18
2a = 18

Divide each side by '2'.
a = 9

Simplifying
a = 9

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