5(a-8)+17=2(a-4)

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Solution for 5(a-8)+17=2(a-4) equation:


Simplifying
5(a + -8) + 17 = 2(a + -4)

Reorder the terms:
5(-8 + a) + 17 = 2(a + -4)
(-8 * 5 + a * 5) + 17 = 2(a + -4)
(-40 + 5a) + 17 = 2(a + -4)

Reorder the terms:
-40 + 17 + 5a = 2(a + -4)

Combine like terms: -40 + 17 = -23
-23 + 5a = 2(a + -4)

Reorder the terms:
-23 + 5a = 2(-4 + a)
-23 + 5a = (-4 * 2 + a * 2)
-23 + 5a = (-8 + 2a)

Solving
-23 + 5a = -8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-23 + 5a + -2a = -8 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-23 + 3a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-23 + 3a = -8 + 0
-23 + 3a = -8

Add '23' to each side of the equation.
-23 + 23 + 3a = -8 + 23

Combine like terms: -23 + 23 = 0
0 + 3a = -8 + 23
3a = -8 + 23

Combine like terms: -8 + 23 = 15
3a = 15

Divide each side by '3'.
a = 5

Simplifying
a = 5

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