2a+5=3a+7

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Solution for 2a+5=3a+7 equation:


Simplifying
2a + 5 = 3a + 7

Reorder the terms:
5 + 2a = 3a + 7

Reorder the terms:
5 + 2a = 7 + 3a

Solving
5 + 2a = 7 + 3a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3a' to each side of the equation.
5 + 2a + -3a = 7 + 3a + -3a

Combine like terms: 2a + -3a = -1a
5 + -1a = 7 + 3a + -3a

Combine like terms: 3a + -3a = 0
5 + -1a = 7 + 0
5 + -1a = 7

Add '-5' to each side of the equation.
5 + -5 + -1a = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 7 + -5
-1a = 7 + -5

Combine like terms: 7 + -5 = 2
-1a = 2

Divide each side by '-1'.
a = -2

Simplifying
a = -2

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