x=4-5(x-2)

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


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

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

Combine like terms: 4 + 10 = 14
x = 14 + -5x

Solving
x = 14 + -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.
x + 5x = 14 + -5x + 5x

Combine like terms: x + 5x = 6x
6x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
6x = 14 + 0
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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