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 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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