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

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


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

Reorder the terms:
2(-8 + a) = 5(a + -4)
(-8 * 2 + a * 2) = 5(a + -4)
(-16 + 2a) = 5(a + -4)

Reorder the terms:
-16 + 2a = 5(-4 + a)
-16 + 2a = (-4 * 5 + a * 5)
-16 + 2a = (-20 + 5a)

Solving
-16 + 2a = -20 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-16 + 2a + -5a = -20 + 5a + -5a

Combine like terms: 2a + -5a = -3a
-16 + -3a = -20 + 5a + -5a

Combine like terms: 5a + -5a = 0
-16 + -3a = -20 + 0
-16 + -3a = -20

Add '16' to each side of the equation.
-16 + 16 + -3a = -20 + 16

Combine like terms: -16 + 16 = 0
0 + -3a = -20 + 16
-3a = -20 + 16

Combine like terms: -20 + 16 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333

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