2(8x-1)=6(5-x)

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Solution for 2(8x-1)=6(5-x) equation:


Simplifying
2(8x + -1) = 6(5 + -1x)

Reorder the terms:
2(-1 + 8x) = 6(5 + -1x)
(-1 * 2 + 8x * 2) = 6(5 + -1x)
(-2 + 16x) = 6(5 + -1x)
-2 + 16x = (5 * 6 + -1x * 6)
-2 + 16x = (30 + -6x)

Solving
-2 + 16x = 30 + -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.
-2 + 16x + 6x = 30 + -6x + 6x

Combine like terms: 16x + 6x = 22x
-2 + 22x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 22x = 30 + 0
-2 + 22x = 30

Add '2' to each side of the equation.
-2 + 2 + 22x = 30 + 2

Combine like terms: -2 + 2 = 0
0 + 22x = 30 + 2
22x = 30 + 2

Combine like terms: 30 + 2 = 32
22x = 32

Divide each side by '22'.
x = 1.454545455

Simplifying
x = 1.454545455

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