5(a-8)+17=3(a-5)

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Solution for 5(a-8)+17=3(a-5) equation:


Simplifying
5(a + -8) + 17 = 3(a + -5)

Reorder the terms:
5(-8 + a) + 17 = 3(a + -5)
(-8 * 5 + a * 5) + 17 = 3(a + -5)
(-40 + 5a) + 17 = 3(a + -5)

Reorder the terms:
-40 + 17 + 5a = 3(a + -5)

Combine like terms: -40 + 17 = -23
-23 + 5a = 3(a + -5)

Reorder the terms:
-23 + 5a = 3(-5 + a)
-23 + 5a = (-5 * 3 + a * 3)
-23 + 5a = (-15 + 3a)

Solving
-23 + 5a = -15 + 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.
-23 + 5a + -3a = -15 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-23 + 2a = -15 + 3a + -3a

Combine like terms: 3a + -3a = 0
-23 + 2a = -15 + 0
-23 + 2a = -15

Add '23' to each side of the equation.
-23 + 23 + 2a = -15 + 23

Combine like terms: -23 + 23 = 0
0 + 2a = -15 + 23
2a = -15 + 23

Combine like terms: -15 + 23 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4

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