5a-7=3a-2

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


Simplifying
5a + -7 = 3a + -2

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

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

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

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

Combine like terms: 3a + -3a = 0
-7 + 2a = -2 + 0
-7 + 2a = -2

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

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

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

Divide each side by '2'.
a = 2.5

Simplifying
a = 2.5

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