20(3x+1)=-50(5-x)

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Solution for 20(3x+1)=-50(5-x) equation:


Simplifying
20(3x + 1) = -50(5 + -1x)

Reorder the terms:
20(1 + 3x) = -50(5 + -1x)
(1 * 20 + 3x * 20) = -50(5 + -1x)
(20 + 60x) = -50(5 + -1x)
20 + 60x = (5 * -50 + -1x * -50)
20 + 60x = (-250 + 50x)

Solving
20 + 60x = -250 + 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.
20 + 60x + -50x = -250 + 50x + -50x

Combine like terms: 60x + -50x = 10x
20 + 10x = -250 + 50x + -50x

Combine like terms: 50x + -50x = 0
20 + 10x = -250 + 0
20 + 10x = -250

Add '-20' to each side of the equation.
20 + -20 + 10x = -250 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = -250 + -20
10x = -250 + -20

Combine like terms: -250 + -20 = -270
10x = -270

Divide each side by '10'.
x = -27

Simplifying
x = -27

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