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

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


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

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

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

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

Combine like terms: 5 + -8 = -3
-3 + x + 4x = 2(x + 4) + -2

Combine like terms: x + 4x = 5x
-3 + 5x = 2(x + 4) + -2

Reorder the terms:
-3 + 5x = 2(4 + x) + -2
-3 + 5x = (4 * 2 + x * 2) + -2
-3 + 5x = (8 + 2x) + -2

Reorder the terms:
-3 + 5x = 8 + -2 + 2x

Combine like terms: 8 + -2 = 6
-3 + 5x = 6 + 2x

Solving
-3 + 5x = 6 + 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.
-3 + 5x + -2x = 6 + 2x + -2x

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

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

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

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

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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