16(x-a)=4(2a-3)

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Solution for 16(x-a)=4(2a-3) equation:


Simplifying
16(x + -1a) = 4(2a + -3)

Reorder the terms:
16(-1a + x) = 4(2a + -3)
(-1a * 16 + x * 16) = 4(2a + -3)
(-16a + 16x) = 4(2a + -3)

Reorder the terms:
-16a + 16x = 4(-3 + 2a)
-16a + 16x = (-3 * 4 + 2a * 4)
-16a + 16x = (-12 + 8a)

Solving
-16a + 16x = -12 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-16a + -8a + 16x = -12 + 8a + -8a

Combine like terms: -16a + -8a = -24a
-24a + 16x = -12 + 8a + -8a

Combine like terms: 8a + -8a = 0
-24a + 16x = -12 + 0
-24a + 16x = -12

Add '-16x' to each side of the equation.
-24a + 16x + -16x = -12 + -16x

Combine like terms: 16x + -16x = 0
-24a + 0 = -12 + -16x
-24a = -12 + -16x

Divide each side by '-24'.
a = 0.5 + 0.6666666667x

Simplifying
a = 0.5 + 0.6666666667x

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