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

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


Simplifying
6 + -8(2 + -5x) = 5(x + -1)
6 + (2 * -8 + -5x * -8) = 5(x + -1)
6 + (-16 + 40x) = 5(x + -1)

Combine like terms: 6 + -16 = -10
-10 + 40x = 5(x + -1)

Reorder the terms:
-10 + 40x = 5(-1 + x)
-10 + 40x = (-1 * 5 + x * 5)
-10 + 40x = (-5 + 5x)

Solving
-10 + 40x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 40x + -5x = -5 + 5x + -5x

Combine like terms: 40x + -5x = 35x
-10 + 35x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 35x = -5 + 0
-10 + 35x = -5

Add '10' to each side of the equation.
-10 + 10 + 35x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 35x = -5 + 10
35x = -5 + 10

Combine like terms: -5 + 10 = 5
35x = 5

Divide each side by '35'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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