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

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


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

Reorder the terms:
5(-20 + a) = -2(2a + 5)
(-20 * 5 + a * 5) = -2(2a + 5)
(-100 + 5a) = -2(2a + 5)

Reorder the terms:
-100 + 5a = -2(5 + 2a)
-100 + 5a = (5 * -2 + 2a * -2)
-100 + 5a = (-10 + -4a)

Solving
-100 + 5a = -10 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-100 + 5a + 4a = -10 + -4a + 4a

Combine like terms: 5a + 4a = 9a
-100 + 9a = -10 + -4a + 4a

Combine like terms: -4a + 4a = 0
-100 + 9a = -10 + 0
-100 + 9a = -10

Add '100' to each side of the equation.
-100 + 100 + 9a = -10 + 100

Combine like terms: -100 + 100 = 0
0 + 9a = -10 + 100
9a = -10 + 100

Combine like terms: -10 + 100 = 90
9a = 90

Divide each side by '9'.
a = 10

Simplifying
a = 10

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