7a-49=3a-9

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Solution for 7a-49=3a-9 equation:


Simplifying
7a + -49 = 3a + -9

Reorder the terms:
-49 + 7a = 3a + -9

Reorder the terms:
-49 + 7a = -9 + 3a

Solving
-49 + 7a = -9 + 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.
-49 + 7a + -3a = -9 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-49 + 4a = -9 + 3a + -3a

Combine like terms: 3a + -3a = 0
-49 + 4a = -9 + 0
-49 + 4a = -9

Add '49' to each side of the equation.
-49 + 49 + 4a = -9 + 49

Combine like terms: -49 + 49 = 0
0 + 4a = -9 + 49
4a = -9 + 49

Combine like terms: -9 + 49 = 40
4a = 40

Divide each side by '4'.
a = 10

Simplifying
a = 10

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