5(1-x)+10(2-2x)=15-20x

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Solution for 5(1-x)+10(2-2x)=15-20x equation: 


Simplifying
5(1 + -1x) + 10(2 + -2x) = 15 + -20x
(1 * 5 + -1x * 5) + 10(2 + -2x) = 15 + -20x
(5 + -5x) + 10(2 + -2x) = 15 + -20x
5 + -5x + (2 * 10 + -2x * 10) = 15 + -20x
5 + -5x + (20 + -20x) = 15 + -20x

Reorder the terms:
5 + 20 + -5x + -20x = 15 + -20x

Combine like terms: 5 + 20 = 25
25 + -5x + -20x = 15 + -20x

Combine like terms: -5x + -20x = -25x
25 + -25x = 15 + -20x

Solving
25 + -25x = 15 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
25 + -25x + 20x = 15 + -20x + 20x

Combine like terms: -25x + 20x = -5x
25 + -5x = 15 + -20x + 20x

Combine like terms: -20x + 20x = 0
25 + -5x = 15 + 0
25 + -5x = 15

Add '-25' to each side of the equation.
25 + -25 + -5x = 15 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = 15 + -25
-5x = 15 + -25

Combine like terms: 15 + -25 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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