x-1-2(x-5)=2(3x-1)

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Solution for x-1-2(x-5)=2(3x-1) equation:


Simplifying
x + -1 + -2(x + -5) = 2(3x + -1)

Reorder the terms:
x + -1 + -2(-5 + x) = 2(3x + -1)
x + -1 + (-5 * -2 + x * -2) = 2(3x + -1)
x + -1 + (10 + -2x) = 2(3x + -1)

Reorder the terms:
-1 + 10 + x + -2x = 2(3x + -1)

Combine like terms: -1 + 10 = 9
9 + x + -2x = 2(3x + -1)

Combine like terms: x + -2x = -1x
9 + -1x = 2(3x + -1)

Reorder the terms:
9 + -1x = 2(-1 + 3x)
9 + -1x = (-1 * 2 + 3x * 2)
9 + -1x = (-2 + 6x)

Solving
9 + -1x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + -1x + -6x = -2 + 6x + -6x

Combine like terms: -1x + -6x = -7x
9 + -7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -7x = -2 + 0
9 + -7x = -2

Add '-9' to each side of the equation.
9 + -9 + -7x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -2 + -9
-7x = -2 + -9

Combine like terms: -2 + -9 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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