2x-5=2(4x-1)

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


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

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

Reorder the terms:
-5 + 2x = 2(-1 + 4x)
-5 + 2x = (-1 * 2 + 4x * 2)
-5 + 2x = (-2 + 8x)

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

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
-5 + -6x = -2 + 0
-5 + -6x = -2

Add '5' to each side of the equation.
-5 + 5 + -6x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = -2 + 5
-6x = -2 + 5

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

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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