.6(x+100)+0.8x=109

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Solution for .6(x+100)+0.8x=109 equation: 


Simplifying
0.6(x + 100) + 0.8x = 109

Reorder the terms:
0.6(100 + x) + 0.8x = 109
(100 * 0.6 + x * 0.6) + 0.8x = 109
(60 + 0.6x) + 0.8x = 109

Combine like terms: 0.6x + 0.8x = 1.4x
60 + 1.4x = 109

Solving
60 + 1.4x = 109

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 1.4x = 109 + -60

Combine like terms: 60 + -60 = 0
0 + 1.4x = 109 + -60
1.4x = 109 + -60

Combine like terms: 109 + -60 = 49
1.4x = 49

Divide each side by '1.4'.
x = 35

Simplifying
x = 35

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