2(4x-1)=x-5

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


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

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

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

Solving
-2 + 8x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-2 + 8x + -1x = -5 + x + -1x

Combine like terms: 8x + -1x = 7x
-2 + 7x = -5 + x + -1x

Combine like terms: x + -1x = 0
-2 + 7x = -5 + 0
-2 + 7x = -5

Add '2' to each side of the equation.
-2 + 2 + 7x = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -5 + 2
7x = -5 + 2

Combine like terms: -5 + 2 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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