4x-5=x-2

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


Simplifying
4x + -5 = x + -2

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

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

Solving
-5 + 4x = -2 + x

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.
-5 + 4x + -1x = -2 + x + -1x

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

Combine like terms: x + -1x = 0
-5 + 3x = -2 + 0
-5 + 3x = -2

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

Combine like terms: -5 + 5 = 0
0 + 3x = -2 + 5
3x = -2 + 5

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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