3[x-1]-4x=5-2[x+1]

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Solution for 3[x-1]-4x=5-2[x+1] equation:


Simplifying
3[x + -1] + -4x = 5 + -2[x + 1]

Reorder the terms:
3[-1 + x] + -4x = 5 + -2[x + 1]
[-1 * 3 + x * 3] + -4x = 5 + -2[x + 1]
[-3 + 3x] + -4x = 5 + -2[x + 1]

Combine like terms: 3x + -4x = -1x
-3 + -1x = 5 + -2[x + 1]

Reorder the terms:
-3 + -1x = 5 + -2[1 + x]
-3 + -1x = 5 + [1 * -2 + x * -2]
-3 + -1x = 5 + [-2 + -2x]

Combine like terms: 5 + -2 = 3
-3 + -1x = 3 + -2x

Solving
-3 + -1x = 3 + -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.
-3 + -1x + 2x = 3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

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

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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