60(1+x)=50(10-x)

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Solution for 60(1+x)=50(10-x) equation:


Simplifying
60(1 + x) = 50(10 + -1x)
(1 * 60 + x * 60) = 50(10 + -1x)
(60 + 60x) = 50(10 + -1x)
60 + 60x = (10 * 50 + -1x * 50)
60 + 60x = (500 + -50x)

Solving
60 + 60x = 500 + -50x

Solving for variable 'x'.

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

Add '50x' to each side of the equation.
60 + 60x + 50x = 500 + -50x + 50x

Combine like terms: 60x + 50x = 110x
60 + 110x = 500 + -50x + 50x

Combine like terms: -50x + 50x = 0
60 + 110x = 500 + 0
60 + 110x = 500

Add '-60' to each side of the equation.
60 + -60 + 110x = 500 + -60

Combine like terms: 60 + -60 = 0
0 + 110x = 500 + -60
110x = 500 + -60

Combine like terms: 500 + -60 = 440
110x = 440

Divide each side by '110'.
x = 4

Simplifying
x = 4

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