1-(2-3(x+1))=2(2+x)-4x

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Solution for 1-(2-3(x+1))=2(2+x)-4x equation: 


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

Reorder the terms:
1 + -1(2 + -3(1 + x)) = 2(2 + x) + -4x
1 + -1(2 + (1 * -3 + x * -3)) = 2(2 + x) + -4x
1 + -1(2 + (-3 + -3x)) = 2(2 + x) + -4x

Combine like terms: 2 + -3 = -1
1 + -1(-1 + -3x) = 2(2 + x) + -4x
1 + (-1 * -1 + -3x * -1) = 2(2 + x) + -4x
1 + (1 + 3x) = 2(2 + x) + -4x

Combine like terms: 1 + 1 = 2
2 + 3x = 2(2 + x) + -4x
2 + 3x = (2 * 2 + x * 2) + -4x
2 + 3x = (4 + 2x) + -4x

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

Solving
2 + 3x = 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 + 3x + 2x = 4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + 5x = 4 + 0
2 + 5x = 4

Add '-2' to each side of the equation.
2 + -2 + 5x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 4 + -2
5x = 4 + -2

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

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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