16(a-x)=4(2x-a)

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Solution for 16(a-x)=4(2x-a) equation:


Simplifying
16(a + -1x) = 4(2x + -1a)
(a * 16 + -1x * 16) = 4(2x + -1a)
(16a + -16x) = 4(2x + -1a)

Reorder the terms:
16a + -16x = 4(-1a + 2x)
16a + -16x = (-1a * 4 + 2x * 4)
16a + -16x = (-4a + 8x)

Solving
16a + -16x = -4a + 8x

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.
16a + 4a + -16x = -4a + 4a + 8x

Combine like terms: 16a + 4a = 20a
20a + -16x = -4a + 4a + 8x

Combine like terms: -4a + 4a = 0
20a + -16x = 0 + 8x
20a + -16x = 8x

Add '16x' to each side of the equation.
20a + -16x + 16x = 8x + 16x

Combine like terms: -16x + 16x = 0
20a + 0 = 8x + 16x
20a = 8x + 16x

Combine like terms: 8x + 16x = 24x
20a = 24x

Divide each side by '20'.
a = 1.2x

Simplifying
a = 1.2x

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