7a+9=3a+49

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


Simplifying
7a + 9 = 3a + 49

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

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

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

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

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

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

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

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

Divide each side by '4'.
a = 10

Simplifying
a = 10

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