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

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


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

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

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

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

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

Combine like terms: -4 + 5 = 1
1 + 3x + -1x = 0

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

Solving
1 + 2x = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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