4x-5=5x-7

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Solution for 4x-5=5x-7 equation:


Simplifying
4x + -5 = 5x + -7

Reorder the terms:
-5 + 4x = 5x + -7

Reorder the terms:
-5 + 4x = -7 + 5x

Solving
-5 + 4x = -7 + 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 = -7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-5 + -1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -1x = -7 + 0
-5 + -1x = -7

Add '5' to each side of the equation.
-5 + 5 + -1x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -7 + 5
-1x = -7 + 5

Combine like terms: -7 + 5 = -2
-1x = -2

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

Simplifying
x = 2

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