x-2=4x-5

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


Simplifying
x + -2 = 4x + -5

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

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

Solving
-2 + x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2 + -3x = -5 + 0
-2 + -3x = -5

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

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

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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