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

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


Simplifying
-2(x + 5) = -5(x + -5)

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

Reorder the terms:
-10 + -2x = -5(-5 + x)
-10 + -2x = (-5 * -5 + x * -5)
-10 + -2x = (25 + -5x)

Solving
-10 + -2x = 25 + -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.
-10 + -2x + 5x = 25 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-10 + 3x = 25 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 3x = 25 + 0
-10 + 3x = 25

Add '10' to each side of the equation.
-10 + 10 + 3x = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 25 + 10
3x = 25 + 10

Combine like terms: 25 + 10 = 35
3x = 35

Divide each side by '3'.
x = 11.66666667

Simplifying
x = 11.66666667

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