0.35x+0.85(10-x)=4

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Solution for 0.35x+0.85(10-x)=4 equation: 


Simplifying
0.35x + 0.85(10 + -1x) = 4
0.35x + (10 * 0.85 + -1x * 0.85) = 4
0.35x + (8.5 + -0.85x) = 4

Reorder the terms:
8.5 + 0.35x + -0.85x = 4

Combine like terms: 0.35x + -0.85x = -0.5x
8.5 + -0.5x = 4

Solving
8.5 + -0.5x = 4

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -0.5x = 4 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -0.5x = 4 + -8.5
-0.5x = 4 + -8.5

Combine like terms: 4 + -8.5 = -4.5
-0.5x = -4.5

Divide each side by '-0.5'.
x = 9

Simplifying
x = 9

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