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

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


Simplifying
2[x + -1(4x) + 3] = 2x + 2

Remove parenthesis around (4x)
2[x + -1 * 4x + 3] = 2x + 2

Multiply -1 * 4
2[x + -4x + 3] = 2x + 2

Reorder the terms:
2[3 + x + -4x] = 2x + 2

Combine like terms: x + -4x = -3x
2[3 + -3x] = 2x + 2
[3 * 2 + -3x * 2] = 2x + 2
[6 + -6x] = 2x + 2

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

Solving
6 + -6x = 2 + 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 + -6x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + -8x = 2 + 0
6 + -8x = 2

Add '-6' to each side of the equation.
6 + -6 + -8x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 2 + -6
-8x = 2 + -6

Combine like terms: 2 + -6 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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