2a+7=3a-5

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


Simplifying
2a + 7 = 3a + -5

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

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

Solving
7 + 2a = -5 + 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.
7 + 2a + -3a = -5 + 3a + -3a

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

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

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

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

Combine like terms: -5 + -7 = -12
-1a = -12

Divide each side by '-1'.
a = 12

Simplifying
a = 12

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