5x-[x-1]=6-2x

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Solution for 5x-[x-1]=6-2x equation:


Simplifying
5x + -1[x + -1] = 6 + -2x

Reorder the terms:
5x + -1[-1 + x] = 6 + -2x
5x + [-1 * -1 + x * -1] = 6 + -2x
5x + [1 + -1x] = 6 + -2x

Reorder the terms:
1 + 5x + -1x = 6 + -2x

Combine like terms: 5x + -1x = 4x
1 + 4x = 6 + -2x

Solving
1 + 4x = 6 + -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.
1 + 4x + 2x = 6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
1 + 6x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 6x = 6 + 0
1 + 6x = 6

Add '-1' to each side of the equation.
1 + -1 + 6x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 6 + -1
6x = 6 + -1

Combine like terms: 6 + -1 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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