(x-3)-(4x-5)=0

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Solution for (x-3)-(4x-5)=0 equation:


Simplifying
(x + -3) + -1(4x + -5) = 0

Reorder the terms:
(-3 + x) + -1(4x + -5) = 0

Remove parenthesis around (-3 + x)
-3 + x + -1(4x + -5) = 0

Reorder the terms:
-3 + x + -1(-5 + 4x) = 0
-3 + x + (-5 * -1 + 4x * -1) = 0
-3 + x + (5 + -4x) = 0

Reorder the terms:
-3 + 5 + x + -4x = 0

Combine like terms: -3 + 5 = 2
2 + x + -4x = 0

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

Solving
2 + -3x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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