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

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


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

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

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

Solving
10 + 2x = -50 + 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 = -50 + 5x + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x = -50 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x = -50 + 0
10 + -3x = -50

Add '-10' to each side of the equation.
10 + -10 + -3x = -50 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -50 + -10
-3x = -50 + -10

Combine like terms: -50 + -10 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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