(x+4)-2(3-2x)=2(x+3)-2

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Solution for (x+4)-2(3-2x)=2(x+3)-2 equation:


Simplifying
(x + 4) + -2(3 + -2x) = 2(x + 3) + -2

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

Remove parenthesis around (4 + x)
4 + x + -2(3 + -2x) = 2(x + 3) + -2
4 + x + (3 * -2 + -2x * -2) = 2(x + 3) + -2
4 + x + (-6 + 4x) = 2(x + 3) + -2

Reorder the terms:
4 + -6 + x + 4x = 2(x + 3) + -2

Combine like terms: 4 + -6 = -2
-2 + x + 4x = 2(x + 3) + -2

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

Reorder the terms:
-2 + 5x = 2(3 + x) + -2
-2 + 5x = (3 * 2 + x * 2) + -2
-2 + 5x = (6 + 2x) + -2

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

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

Solving
-2 + 5x = 4 + 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.
-2 + 5x + -2x = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-2 + 3x = 4 + 0
-2 + 3x = 4

Add '2' to each side of the equation.
-2 + 2 + 3x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 4 + 2
3x = 4 + 2

Combine like terms: 4 + 2 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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