.75(x-2)+.25(x-4)=.5

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Solution for .75(x-2)+.25(x-4)=.5 equation: 


Simplifying
0.75(x + -2) + 0.25(x + -4) = 0.5

Reorder the terms:
0.75(-2 + x) + 0.25(x + -4) = 0.5
(-2 * 0.75 + x * 0.75) + 0.25(x + -4) = 0.5
(-1.5 + 0.75x) + 0.25(x + -4) = 0.5

Reorder the terms:
-1.5 + 0.75x + 0.25(-4 + x) = 0.5
-1.5 + 0.75x + (-4 * 0.25 + x * 0.25) = 0.5
-1.5 + 0.75x + (-1 + 0.25x) = 0.5

Reorder the terms:
-1.5 + -1 + 0.75x + 0.25x = 0.5

Combine like terms: -1.5 + -1 = -2.5
-2.5 + 0.75x + 0.25x = 0.5

Combine like terms: 0.75x + 0.25x = 1x
-2.5 + 1x = 0.5

Solving
-2.5 + 1x = 0.5

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 1x = 0.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 1x = 0.5 + 2.5
1x = 0.5 + 2.5

Combine like terms: 0.5 + 2.5 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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