[2x-6]-[x-1]=0

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Solution for [2x-6]-[x-1]=0 equation:


Simplifying
[2x + -6] + -1[x + -1] = 0

Reorder the terms:
[-6 + 2x] + -1[x + -1] = 0

Remove brackets around [-6 + 2x]
-6 + 2x + -1[x + -1] = 0

Reorder the terms:
-6 + 2x + -1[-1 + x] = 0
-6 + 2x + [-1 * -1 + x * -1] = 0
-6 + 2x + [1 + -1x] = 0

Reorder the terms:
-6 + 1 + 2x + -1x = 0

Combine like terms: -6 + 1 = -5
-5 + 2x + -1x = 0

Combine like terms: 2x + -1x = 1x
-5 + 1x = 0

Solving
-5 + 1x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 0 + 5
1x = 0 + 5

Combine like terms: 0 + 5 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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