3a+2+5(a-1)=7a+17

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Solution for 3a+2+5(a-1)=7a+17 equation:


Simplifying
3a + 2 + 5(a + -1) = 7a + 17

Reorder the terms:
3a + 2 + 5(-1 + a) = 7a + 17
3a + 2 + (-1 * 5 + a * 5) = 7a + 17
3a + 2 + (-5 + 5a) = 7a + 17

Reorder the terms:
2 + -5 + 3a + 5a = 7a + 17

Combine like terms: 2 + -5 = -3
-3 + 3a + 5a = 7a + 17

Combine like terms: 3a + 5a = 8a
-3 + 8a = 7a + 17

Reorder the terms:
-3 + 8a = 17 + 7a

Solving
-3 + 8a = 17 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-3 + 8a + -7a = 17 + 7a + -7a

Combine like terms: 8a + -7a = 1a
-3 + 1a = 17 + 7a + -7a

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

Add '3' to each side of the equation.
-3 + 3 + 1a = 17 + 3

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

Combine like terms: 17 + 3 = 20
1a = 20

Divide each side by '1'.
a = 20

Simplifying
a = 20

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