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

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Solution for 2(x-2)+2(x+5)=2x+2(2x-1) equation:


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

Reorder the terms:
2(-2 + x) + 2(x + 5) = 2x + 2(2x + -1)
(-2 * 2 + x * 2) + 2(x + 5) = 2x + 2(2x + -1)
(-4 + 2x) + 2(x + 5) = 2x + 2(2x + -1)

Reorder the terms:
-4 + 2x + 2(5 + x) = 2x + 2(2x + -1)
-4 + 2x + (5 * 2 + x * 2) = 2x + 2(2x + -1)
-4 + 2x + (10 + 2x) = 2x + 2(2x + -1)

Reorder the terms:
-4 + 10 + 2x + 2x = 2x + 2(2x + -1)

Combine like terms: -4 + 10 = 6
6 + 2x + 2x = 2x + 2(2x + -1)

Combine like terms: 2x + 2x = 4x
6 + 4x = 2x + 2(2x + -1)

Reorder the terms:
6 + 4x = 2x + 2(-1 + 2x)
6 + 4x = 2x + (-1 * 2 + 2x * 2)
6 + 4x = 2x + (-2 + 4x)

Reorder the terms:
6 + 4x = -2 + 2x + 4x

Combine like terms: 2x + 4x = 6x
6 + 4x = -2 + 6x

Solving
6 + 4x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 4x + -6x = -2 + 6x + -6x

Combine like terms: 4x + -6x = -2x
6 + -2x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -2x = -2 + 0
6 + -2x = -2

Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6

Combine like terms: -2 + -6 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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