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

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


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

Reorder the terms:
2(-8 + 5x) = -1(2x + -1)
(-8 * 2 + 5x * 2) = -1(2x + -1)
(-16 + 10x) = -1(2x + -1)

Reorder the terms:
-16 + 10x = -1(-1 + 2x)
-16 + 10x = (-1 * -1 + 2x * -1)
-16 + 10x = (1 + -2x)

Solving
-16 + 10x = 1 + -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.
-16 + 10x + 2x = 1 + -2x + 2x

Combine like terms: 10x + 2x = 12x
-16 + 12x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 12x = 1 + 0
-16 + 12x = 1

Add '16' to each side of the equation.
-16 + 16 + 12x = 1 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = 1 + 16
12x = 1 + 16

Combine like terms: 1 + 16 = 17
12x = 17

Divide each side by '12'.
x = 1.416666667

Simplifying
x = 1.416666667

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