x=8-2(4x-5)

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Solution for x=8-2(4x-5) equation:


Simplifying
x = 8 + -2(4x + -5)

Reorder the terms:
x = 8 + -2(-5 + 4x)
x = 8 + (-5 * -2 + 4x * -2)
x = 8 + (10 + -8x)

Combine like terms: 8 + 10 = 18
x = 18 + -8x

Solving
x = 18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
x + 8x = 18 + -8x + 8x

Combine like terms: x + 8x = 9x
9x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
9x = 18 + 0
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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