2(x-5)=10-2x

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


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

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

Solving
-10 + 2x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-10 + 2x + 2x = 10 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-10 + 4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 4x = 10 + 0
-10 + 4x = 10

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

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

Combine like terms: 10 + 10 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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