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

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


Simplifying
2(5 + -1x) = 5(x + -5)
(5 * 2 + -1x * 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 = -7x
10 + -7x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -7x = -25 + 0
10 + -7x = -25

Add '-10' to each side of the equation.
10 + -10 + -7x = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -25 + -10
-7x = -25 + -10

Combine like terms: -25 + -10 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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