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

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


Simplifying
2(a + -5) + -1(4a + 4) = 5(4a + 2)

Reorder the terms:
2(-5 + a) + -1(4a + 4) = 5(4a + 2)
(-5 * 2 + a * 2) + -1(4a + 4) = 5(4a + 2)
(-10 + 2a) + -1(4a + 4) = 5(4a + 2)

Reorder the terms:
-10 + 2a + -1(4 + 4a) = 5(4a + 2)
-10 + 2a + (4 * -1 + 4a * -1) = 5(4a + 2)
-10 + 2a + (-4 + -4a) = 5(4a + 2)

Reorder the terms:
-10 + -4 + 2a + -4a = 5(4a + 2)

Combine like terms: -10 + -4 = -14
-14 + 2a + -4a = 5(4a + 2)

Combine like terms: 2a + -4a = -2a
-14 + -2a = 5(4a + 2)

Reorder the terms:
-14 + -2a = 5(2 + 4a)
-14 + -2a = (2 * 5 + 4a * 5)
-14 + -2a = (10 + 20a)

Solving
-14 + -2a = 10 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
-14 + -2a + -20a = 10 + 20a + -20a

Combine like terms: -2a + -20a = -22a
-14 + -22a = 10 + 20a + -20a

Combine like terms: 20a + -20a = 0
-14 + -22a = 10 + 0
-14 + -22a = 10

Add '14' to each side of the equation.
-14 + 14 + -22a = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -22a = 10 + 14
-22a = 10 + 14

Combine like terms: 10 + 14 = 24
-22a = 24

Divide each side by '-22'.
a = -1.090909091

Simplifying
a = -1.090909091

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