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

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


Simplifying
3(x + -2a) + 4(a + -2x) = 8

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

Reorder the terms:
-6a + 4a + 3x + -8x = 8

Combine like terms: -6a + 4a = -2a
-2a + 3x + -8x = 8

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

Solving
-2a + -5x = 8

Solving for variable 'a'.

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

Add '5x' to each side of the equation.
-2a + -5x + 5x = 8 + 5x

Combine like terms: -5x + 5x = 0
-2a + 0 = 8 + 5x
-2a = 8 + 5x

Divide each side by '-2'.
a = -4 + -2.5x

Simplifying
a = -4 + -2.5x

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