7a+2=4a+17

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Solution for 7a+2=4a+17 equation:


Simplifying
7a + 2 = 4a + 17

Reorder the terms:
2 + 7a = 4a + 17

Reorder the terms:
2 + 7a = 17 + 4a

Solving
2 + 7a = 17 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
2 + 7a + -4a = 17 + 4a + -4a

Combine like terms: 7a + -4a = 3a
2 + 3a = 17 + 4a + -4a

Combine like terms: 4a + -4a = 0
2 + 3a = 17 + 0
2 + 3a = 17

Add '-2' to each side of the equation.
2 + -2 + 3a = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 17 + -2
3a = 17 + -2

Combine like terms: 17 + -2 = 15
3a = 15

Divide each side by '3'.
a = 5

Simplifying
a = 5

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