2(2x-5)=4x-2(x+5)

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Solution for 2(2x-5)=4x-2(x+5) equation:


Simplifying
2(2x + -5) = 4x + -2(x + 5)

Reorder the terms:
2(-5 + 2x) = 4x + -2(x + 5)
(-5 * 2 + 2x * 2) = 4x + -2(x + 5)
(-10 + 4x) = 4x + -2(x + 5)

Reorder the terms:
-10 + 4x = 4x + -2(5 + x)
-10 + 4x = 4x + (5 * -2 + x * -2)
-10 + 4x = 4x + (-10 + -2x)

Reorder the terms:
-10 + 4x = -10 + 4x + -2x

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

Add '10' to each side of the equation.
-10 + 10 + 4x = -10 + 10 + 2x

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

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

Solving
4x = 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.
4x + -2x = 2x + -2x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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