2a-5=5a-7a+7

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


Simplifying
2a + -5 = 5a + -7a + 7

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

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

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

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

Combine like terms: 2a + 2a = 4a
-5 + 4a = 7 + -2a + 2a

Combine like terms: -2a + 2a = 0
-5 + 4a = 7 + 0
-5 + 4a = 7

Add '5' to each side of the equation.
-5 + 5 + 4a = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 4a = 7 + 5
4a = 7 + 5

Combine like terms: 7 + 5 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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