2a+5=5a-7

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


Simplifying
2a + 5 = 5a + -7

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

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

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

Combine like terms: 2a + -5a = -3a
5 + -3a = -7 + 5a + -5a

Combine like terms: 5a + -5a = 0
5 + -3a = -7 + 0
5 + -3a = -7

Add '-5' to each side of the equation.
5 + -5 + -3a = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3a = -7 + -5
-3a = -7 + -5

Combine like terms: -7 + -5 = -12
-3a = -12

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

Simplifying
a = 4

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