0.35(x-2)+0.65(x+8)=5.5

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Solution for 0.35(x-2)+0.65(x+8)=5.5 equation: 


Simplifying
0.35(x + -2) + 0.65(x + 8) = 5.5

Reorder the terms:
0.35(-2 + x) + 0.65(x + 8) = 5.5
(-2 * 0.35 + x * 0.35) + 0.65(x + 8) = 5.5
(-0.7 + 0.35x) + 0.65(x + 8) = 5.5

Reorder the terms:
-0.7 + 0.35x + 0.65(8 + x) = 5.5
-0.7 + 0.35x + (8 * 0.65 + x * 0.65) = 5.5
-0.7 + 0.35x + (5.2 + 0.65x) = 5.5

Reorder the terms:
-0.7 + 5.2 + 0.35x + 0.65x = 5.5

Combine like terms: -0.7 + 5.2 = 4.5
4.5 + 0.35x + 0.65x = 5.5

Combine like terms: 0.35x + 0.65x = 1x
4.5 + 1x = 5.5

Solving
4.5 + 1x = 5.5

Solving for variable 'x'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 1x = 5.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 1x = 5.5 + -4.5
1x = 5.5 + -4.5

Combine like terms: 5.5 + -4.5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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