35(3-x)-20(2-3x)=150

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Solution for 35(3-x)-20(2-3x)=150 equation: 


Simplifying
35(3 + -1x) + -20(2 + -3x) = 150
(3 * 35 + -1x * 35) + -20(2 + -3x) = 150
(105 + -35x) + -20(2 + -3x) = 150
105 + -35x + (2 * -20 + -3x * -20) = 150
105 + -35x + (-40 + 60x) = 150

Reorder the terms:
105 + -40 + -35x + 60x = 150

Combine like terms: 105 + -40 = 65
65 + -35x + 60x = 150

Combine like terms: -35x + 60x = 25x
65 + 25x = 150

Solving
65 + 25x = 150

Solving for variable 'x'.

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

Add '-65' to each side of the equation.
65 + -65 + 25x = 150 + -65

Combine like terms: 65 + -65 = 0
0 + 25x = 150 + -65
25x = 150 + -65

Combine like terms: 150 + -65 = 85
25x = 85

Divide each side by '25'.
x = 3.4

Simplifying
x = 3.4

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