4x-5=2x-1

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Solution for 4x-5=2x-1 equation:


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

Reorder the terms:
-5 + 4x = 2x + -1

Reorder the terms:
-5 + 4x = -1 + 2x

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + 4x + -2x = -1 + 2x + -2x

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

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

Add '5' to each side of the equation.
-5 + 5 + 2x = -1 + 5

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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