7a-2=5a+13

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Solution for 7a-2=5a+13 equation:


Simplifying
7a + -2 = 5a + 13

Reorder the terms:
-2 + 7a = 5a + 13

Reorder the terms:
-2 + 7a = 13 + 5a

Solving
-2 + 7a = 13 + 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.
-2 + 7a + -5a = 13 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-2 + 2a = 13 + 5a + -5a

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

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

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

Combine like terms: 13 + 2 = 15
2a = 15

Divide each side by '2'.
a = 7.5

Simplifying
a = 7.5

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