2a+7=5a-5

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


Simplifying
2a + 7 = 5a + -5

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

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

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

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

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

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

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

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

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

Simplifying
a = 4

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