5(a-8)+20=2(a-4)

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Solution for 5(a-8)+20=2(a-4) equation:


Simplifying
5(a + -8) + 20 = 2(a + -4)

Reorder the terms:
5(-8 + a) + 20 = 2(a + -4)
(-8 * 5 + a * 5) + 20 = 2(a + -4)
(-40 + 5a) + 20 = 2(a + -4)

Reorder the terms:
-40 + 20 + 5a = 2(a + -4)

Combine like terms: -40 + 20 = -20
-20 + 5a = 2(a + -4)

Reorder the terms:
-20 + 5a = 2(-4 + a)
-20 + 5a = (-4 * 2 + a * 2)
-20 + 5a = (-8 + 2a)

Solving
-20 + 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.
-20 + 5a + -2a = -8 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-20 + 3a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-20 + 3a = -8 + 0
-20 + 3a = -8

Add '20' to each side of the equation.
-20 + 20 + 3a = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 3a = -8 + 20
3a = -8 + 20

Combine like terms: -8 + 20 = 12
3a = 12

Divide each side by '3'.
a = 4

Simplifying
a = 4

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