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

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


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

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

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

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

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

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

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

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

Solving
1 + -1x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
1 + -1x + 4x = 5 + -4x + 4x

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

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 5 + -1

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

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

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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