9(5-x)+5=-5(x-2)-10

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Solution for 9(5-x)+5=-5(x-2)-10 equation: 


Simplifying
9(5 + -1x) + 5 = -5(x + -2) + -10
(5 * 9 + -1x * 9) + 5 = -5(x + -2) + -10
(45 + -9x) + 5 = -5(x + -2) + -10

Reorder the terms:
45 + 5 + -9x = -5(x + -2) + -10

Combine like terms: 45 + 5 = 50
50 + -9x = -5(x + -2) + -10

Reorder the terms:
50 + -9x = -5(-2 + x) + -10
50 + -9x = (-2 * -5 + x * -5) + -10
50 + -9x = (10 + -5x) + -10

Reorder the terms:
50 + -9x = 10 + -10 + -5x

Combine like terms: 10 + -10 = 0
50 + -9x = 0 + -5x
50 + -9x = -5x

Solving
50 + -9x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
50 + -9x + 5x = -5x + 5x

Combine like terms: -9x + 5x = -4x
50 + -4x = -5x + 5x

Combine like terms: -5x + 5x = 0
50 + -4x = 0

Add '-50' to each side of the equation.
50 + -50 + -4x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -4x = 0 + -50
-4x = 0 + -50

Combine like terms: 0 + -50 = -50
-4x = -50

Divide each side by '-4'.
x = 12.5

Simplifying
x = 12.5

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