(2x-1)=5x-8+2

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Solution for (2x-1)=5x-8+2 equation:


Simplifying
(2x + -1) = 5x + -8 + 2

Reorder the terms:
(-1 + 2x) = 5x + -8 + 2

Remove parenthesis around (-1 + 2x)
-1 + 2x = 5x + -8 + 2

Reorder the terms:
-1 + 2x = -8 + 2 + 5x

Combine like terms: -8 + 2 = -6
-1 + 2x = -6 + 5x

Solving
-1 + 2x = -6 + 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.
-1 + 2x + -5x = -6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-1 + -3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -3x = -6 + 0
-1 + -3x = -6

Add '1' to each side of the equation.
-1 + 1 + -3x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -6 + 1
-3x = -6 + 1

Combine like terms: -6 + 1 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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