-4(4-x)=0.75(x-6)

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Solution for -4(4-x)=0.75(x-6) equation: 


Simplifying
-4(4 + -1x) = 0.75(x + -6)
(4 * -4 + -1x * -4) = 0.75(x + -6)
(-16 + 4x) = 0.75(x + -6)

Reorder the terms:
-16 + 4x = 0.75(-6 + x)
-16 + 4x = (-6 * 0.75 + x * 0.75)
-16 + 4x = (-4.5 + 0.75x)

Solving
-16 + 4x = -4.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
-16 + 4x + -0.75x = -4.5 + 0.75x + -0.75x

Combine like terms: 4x + -0.75x = 3.25x
-16 + 3.25x = -4.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-16 + 3.25x = -4.5 + 0.00
-16 + 3.25x = -4.5

Add '16' to each side of the equation.
-16 + 16 + 3.25x = -4.5 + 16

Combine like terms: -16 + 16 = 0
0 + 3.25x = -4.5 + 16
3.25x = -4.5 + 16

Combine like terms: -4.5 + 16 = 11.5
3.25x = 11.5

Divide each side by '3.25'.
x = 3.538461538

Simplifying
x = 3.538461538

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