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

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


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

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

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

Combine like terms: x + -4x = -3x
4x + 3[2 + -3x] = 4 + -3x
4x + [2 * 3 + -3x * 3] = 4 + -3x
4x + [6 + -9x] = 4 + -3x

Reorder the terms:
6 + 4x + -9x = 4 + -3x

Combine like terms: 4x + -9x = -5x
6 + -5x = 4 + -3x

Solving
6 + -5x = 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.
6 + -5x + 3x = 4 + -3x + 3x

Combine like terms: -5x + 3x = -2x
6 + -2x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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