2(x+4)-2(x+2)+2(x-1)=25

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Solution for 2(x+4)-2(x+2)+2(x-1)=25 equation: 


Simplifying
2(x + 4) + -2(x + 2) + 2(x + -1) = 25

Reorder the terms:
2(4 + x) + -2(x + 2) + 2(x + -1) = 25
(4 * 2 + x * 2) + -2(x + 2) + 2(x + -1) = 25
(8 + 2x) + -2(x + 2) + 2(x + -1) = 25

Reorder the terms:
8 + 2x + -2(2 + x) + 2(x + -1) = 25
8 + 2x + (2 * -2 + x * -2) + 2(x + -1) = 25
8 + 2x + (-4 + -2x) + 2(x + -1) = 25

Reorder the terms:
8 + 2x + -4 + -2x + 2(-1 + x) = 25
8 + 2x + -4 + -2x + (-1 * 2 + x * 2) = 25
8 + 2x + -4 + -2x + (-2 + 2x) = 25

Reorder the terms:
8 + -4 + -2 + 2x + -2x + 2x = 25

Combine like terms: 8 + -4 = 4
4 + -2 + 2x + -2x + 2x = 25

Combine like terms: 4 + -2 = 2
2 + 2x + -2x + 2x = 25

Combine like terms: 2x + -2x = 0
2 + 0 + 2x = 25
2 + 2x = 25

Solving
2 + 2x = 25

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 25 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 25 + -2
2x = 25 + -2

Combine like terms: 25 + -2 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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