4x-5=2x-8

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Solution for 4x-5=2x-8 equation:


Simplifying
4x + -5 = 2x + -8

Reorder the terms:
-5 + 4x = 2x + -8

Reorder the terms:
-5 + 4x = -8 + 2x

Solving
-5 + 4x = -8 + 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 = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-5 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 2x = -8 + 0
-5 + 2x = -8

Add '5' to each side of the equation.
-5 + 5 + 2x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -8 + 5
2x = -8 + 5

Combine like terms: -8 + 5 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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