10(2-x)=50+2(3x+5)

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Solution for 10(2-x)=50+2(3x+5) equation: 


Simplifying
10(2 + -1x) = 50 + 2(3x + 5)
(2 * 10 + -1x * 10) = 50 + 2(3x + 5)
(20 + -10x) = 50 + 2(3x + 5)

Reorder the terms:
20 + -10x = 50 + 2(5 + 3x)
20 + -10x = 50 + (5 * 2 + 3x * 2)
20 + -10x = 50 + (10 + 6x)

Combine like terms: 50 + 10 = 60
20 + -10x = 60 + 6x

Solving
20 + -10x = 60 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + -10x + -6x = 60 + 6x + -6x

Combine like terms: -10x + -6x = -16x
20 + -16x = 60 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -16x = 60 + 0
20 + -16x = 60

Add '-20' to each side of the equation.
20 + -20 + -16x = 60 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = 60 + -20
-16x = 60 + -20

Combine like terms: 60 + -20 = 40
-16x = 40

Divide each side by '-16'.
x = -2.5

Simplifying
x = -2.5

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