0=(x-6)-(4x-5)

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Solution for 0=(x-6)-(4x-5) equation:


Simplifying
0 = (x + -6) + -1(4x + -5)

Reorder the terms:
0 = (-6 + x) + -1(4x + -5)

Remove parenthesis around (-6 + x)
0 = -6 + x + -1(4x + -5)

Reorder the terms:
0 = -6 + x + -1(-5 + 4x)
0 = -6 + x + (-5 * -1 + 4x * -1)
0 = -6 + x + (5 + -4x)

Reorder the terms:
0 = -6 + 5 + x + -4x

Combine like terms: -6 + 5 = -1
0 = -1 + x + -4x

Combine like terms: x + -4x = -3x
0 = -1 + -3x

Solving
0 = -1 + -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.
0 + 3x = -1 + -3x + 3x
Remove the zero:
3x = -1 + -3x + 3x

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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