4x-5=-5x+4

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


Simplifying
4x + -5 = -5x + 4

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 4x + 5x = 9x
-5 + 9x = 4 + -5x + 5x

Combine like terms: -5x + 5x = 0
-5 + 9x = 4 + 0
-5 + 9x = 4

Add '5' to each side of the equation.
-5 + 5 + 9x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 4 + 5
9x = 4 + 5

Combine like terms: 4 + 5 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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