4(a-5)+4a=2(3a+4)

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Solution for 4(a-5)+4a=2(3a+4) equation:


Simplifying
4(a + -5) + 4a = 2(3a + 4)

Reorder the terms:
4(-5 + a) + 4a = 2(3a + 4)
(-5 * 4 + a * 4) + 4a = 2(3a + 4)
(-20 + 4a) + 4a = 2(3a + 4)

Combine like terms: 4a + 4a = 8a
-20 + 8a = 2(3a + 4)

Reorder the terms:
-20 + 8a = 2(4 + 3a)
-20 + 8a = (4 * 2 + 3a * 2)
-20 + 8a = (8 + 6a)

Solving
-20 + 8a = 8 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-20 + 8a + -6a = 8 + 6a + -6a

Combine like terms: 8a + -6a = 2a
-20 + 2a = 8 + 6a + -6a

Combine like terms: 6a + -6a = 0
-20 + 2a = 8 + 0
-20 + 2a = 8

Add '20' to each side of the equation.
-20 + 20 + 2a = 8 + 20

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

Combine like terms: 8 + 20 = 28
2a = 28

Divide each side by '2'.
a = 14

Simplifying
a = 14

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