0.75(x-2)+.025(x+4)=0.5

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Solution for 0.75(x-2)+.025(x+4)=0.5 equation: 


Simplifying
0.75(x + -2) + 0.025(x + 4) = 0.5

Reorder the terms:
0.75(-2 + x) + 0.025(x + 4) = 0.5
(-2 * 0.75 + x * 0.75) + 0.025(x + 4) = 0.5
(-1.5 + 0.75x) + 0.025(x + 4) = 0.5

Reorder the terms:
-1.5 + 0.75x + 0.025(4 + x) = 0.5
-1.5 + 0.75x + (4 * 0.025 + x * 0.025) = 0.5
-1.5 + 0.75x + (0.1 + 0.025x) = 0.5

Reorder the terms:
-1.5 + 0.1 + 0.75x + 0.025x = 0.5

Combine like terms: -1.5 + 0.1 = -1.4
-1.4 + 0.75x + 0.025x = 0.5

Combine like terms: 0.75x + 0.025x = 0.775x
-1.4 + 0.775x = 0.5

Solving
-1.4 + 0.775x = 0.5

Solving for variable 'x'.

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

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.775x = 0.5 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.775x = 0.5 + 1.4
0.775x = 0.5 + 1.4

Combine like terms: 0.5 + 1.4 = 1.9
0.775x = 1.9

Divide each side by '0.775'.
x = 2.451612903

Simplifying
x = 2.451612903

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