2a+17=3a+7

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Solution for 2a+17=3a+7 equation:


Simplifying
2a + 17 = 3a + 7

Reorder the terms:
17 + 2a = 3a + 7

Reorder the terms:
17 + 2a = 7 + 3a

Solving
17 + 2a = 7 + 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.
17 + 2a + -3a = 7 + 3a + -3a

Combine like terms: 2a + -3a = -1a
17 + -1a = 7 + 3a + -3a

Combine like terms: 3a + -3a = 0
17 + -1a = 7 + 0
17 + -1a = 7

Add '-17' to each side of the equation.
17 + -17 + -1a = 7 + -17

Combine like terms: 17 + -17 = 0
0 + -1a = 7 + -17
-1a = 7 + -17

Combine like terms: 7 + -17 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10

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