.3x+.2(180-x)=.23(180)

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Solution for .3x+.2(180-x)=.23(180) equation: 


Simplifying
0.3x + 0.2(180 + -1x) = 0.23(180)
0.3x + (180 * 0.2 + -1x * 0.2) = 0.23(180)
0.3x + (36 + -0.2x) = 0.23(180)

Reorder the terms:
36 + 0.3x + -0.2x = 0.23(180)

Combine like terms: 0.3x + -0.2x = 0.1x
36 + 0.1x = 0.23(180)

Multiply 0.23 * 180
36 + 0.1x = 41.4

Solving
36 + 0.1x = 41.4

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 0.1x = 41.4 + -36

Combine like terms: 36 + -36 = 0
0 + 0.1x = 41.4 + -36
0.1x = 41.4 + -36

Combine like terms: 41.4 + -36 = 5.4
0.1x = 5.4

Divide each side by '0.1'.
x = 54

Simplifying
x = 54

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