3a-7=2a-9

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Solution for 3a-7=2a-9 equation:


Simplifying
3a + -7 = 2a + -9

Reorder the terms:
-7 + 3a = 2a + -9

Reorder the terms:
-7 + 3a = -9 + 2a

Solving
-7 + 3a = -9 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-7 + 3a + -2a = -9 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-7 + 1a = -9 + 2a + -2a

Combine like terms: 2a + -2a = 0
-7 + 1a = -9 + 0
-7 + 1a = -9

Add '7' to each side of the equation.
-7 + 7 + 1a = -9 + 7

Combine like terms: -7 + 7 = 0
0 + 1a = -9 + 7
1a = -9 + 7

Combine like terms: -9 + 7 = -2
1a = -2

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

Simplifying
a = -2

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