-3x-2(5-4x)+8a=-2a+20

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Solution for -3x-2(5-4x)+8a=-2a+20 equation:


Simplifying
-3x + -2(5 + -4x) + 8a = -2a + 20
-3x + (5 * -2 + -4x * -2) + 8a = -2a + 20
-3x + (-10 + 8x) + 8a = -2a + 20

Reorder the terms:
-10 + 8a + -3x + 8x = -2a + 20

Combine like terms: -3x + 8x = 5x
-10 + 8a + 5x = -2a + 20

Reorder the terms:
-10 + 8a + 5x = 20 + -2a

Solving
-10 + 8a + 5x = 20 + -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.
-10 + 8a + 2a + 5x = 20 + -2a + 2a

Combine like terms: 8a + 2a = 10a
-10 + 10a + 5x = 20 + -2a + 2a

Combine like terms: -2a + 2a = 0
-10 + 10a + 5x = 20 + 0
-10 + 10a + 5x = 20

Add '10' to each side of the equation.
-10 + 10a + 10 + 5x = 20 + 10

Reorder the terms:
-10 + 10 + 10a + 5x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 10a + 5x = 20 + 10
10a + 5x = 20 + 10

Combine like terms: 20 + 10 = 30
10a + 5x = 30

Add '-5x' to each side of the equation.
10a + 5x + -5x = 30 + -5x

Combine like terms: 5x + -5x = 0
10a + 0 = 30 + -5x
10a = 30 + -5x

Divide each side by '10'.
a = 3 + -0.5x

Simplifying
a = 3 + -0.5x

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