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

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


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

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

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

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

Remove brackets around [2 + -3x]
4x + 2 + -3x = 4 + -3x

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

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

Solving
2 + 1x = 4 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
2 + 1x + 3x = 4 + -3x + 3x

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

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

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

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

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

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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