2x-3=-4x+5x-5

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Solution for 2x-3=-4x+5x-5 equation:


Simplifying
2x + -3 = -4x + 5x + -5

Reorder the terms:
-3 + 2x = -4x + 5x + -5

Reorder the terms:
-3 + 2x = -5 + -4x + 5x

Combine like terms: -4x + 5x = 1x
-3 + 2x = -5 + 1x

Solving
-3 + 2x = -5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 2x + -1x = -5 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-3 + 1x = -5 + 1x + -1x

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

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

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

Combine like terms: -5 + 3 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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