.5x+.2(9-x)=3.45

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Solution for .5x+.2(9-x)=3.45 equation:


Simplifying
0.5x + 0.2(9 + -1x) = 3.45
0.5x + (9 * 0.2 + -1x * 0.2) = 3.45
0.5x + (1.8 + -0.2x) = 3.45

Reorder the terms:
1.8 + 0.5x + -0.2x = 3.45

Combine like terms: 0.5x + -0.2x = 0.3x
1.8 + 0.3x = 3.45

Solving
1.8 + 0.3x = 3.45

Solving for variable 'x'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.3x = 3.45 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.3x = 3.45 + -1.8
0.3x = 3.45 + -1.8

Combine like terms: 3.45 + -1.8 = 1.65
0.3x = 1.65

Divide each side by '0.3'.
x = 5.5

Simplifying
x = 5.5

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