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

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


Simplifying
2 + -1(x + 5) = 5(2 + -1x)

Reorder the terms:
2 + -1(5 + x) = 5(2 + -1x)
2 + (5 * -1 + x * -1) = 5(2 + -1x)
2 + (-5 + -1x) = 5(2 + -1x)

Combine like terms: 2 + -5 = -3
-3 + -1x = 5(2 + -1x)
-3 + -1x = (2 * 5 + -1x * 5)
-3 + -1x = (10 + -5x)

Solving
-3 + -1x = 10 + -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.
-3 + -1x + 5x = 10 + -5x + 5x

Combine like terms: -1x + 5x = 4x
-3 + 4x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 4x = 10 + 0
-3 + 4x = 10

Add '3' to each side of the equation.
-3 + 3 + 4x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 10 + 3
4x = 10 + 3

Combine like terms: 10 + 3 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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