60=1.10x+1.70(60-x)

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Solution for 60=1.10x+1.70(60-x) equation:


Simplifying
60 = 1.10x + 1.70(60 + -1x)
60 = 1.10x + (60 * 1.70 + -1x * 1.70)
60 = 1.10x + (102 + -1.7x)

Reorder the terms:
60 = 102 + 1.10x + -1.7x

Combine like terms: 1.10x + -1.7x = -0.6x
60 = 102 + -0.6x

Solving
60 = 102 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
60 + 0.6x = 102 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
60 + 0.6x = 102 + 0.0
60 + 0.6x = 102

Add '-60' to each side of the equation.
60 + -60 + 0.6x = 102 + -60

Combine like terms: 60 + -60 = 0
0 + 0.6x = 102 + -60
0.6x = 102 + -60

Combine like terms: 102 + -60 = 42
0.6x = 42

Divide each side by '0.6'.
x = 70

Simplifying
x = 70

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