(x+2)-2(4-2x)=2(x+5)-1

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Solution for (x+2)-2(4-2x)=2(x+5)-1 equation:


Simplifying
(x + 2) + -2(4 + -2x) = 2(x + 5) + -1

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

Remove parenthesis around (2 + x)
2 + x + -2(4 + -2x) = 2(x + 5) + -1
2 + x + (4 * -2 + -2x * -2) = 2(x + 5) + -1
2 + x + (-8 + 4x) = 2(x + 5) + -1

Reorder the terms:
2 + -8 + x + 4x = 2(x + 5) + -1

Combine like terms: 2 + -8 = -6
-6 + x + 4x = 2(x + 5) + -1

Combine like terms: x + 4x = 5x
-6 + 5x = 2(x + 5) + -1

Reorder the terms:
-6 + 5x = 2(5 + x) + -1
-6 + 5x = (5 * 2 + x * 2) + -1
-6 + 5x = (10 + 2x) + -1

Reorder the terms:
-6 + 5x = 10 + -1 + 2x

Combine like terms: 10 + -1 = 9
-6 + 5x = 9 + 2x

Solving
-6 + 5x = 9 + 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.
-6 + 5x + -2x = 9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 3x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 3x = 9 + 0
-6 + 3x = 9

Add '6' to each side of the equation.
-6 + 6 + 3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 9 + 6
3x = 9 + 6

Combine like terms: 9 + 6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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