2-x=-5(x-2)

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


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

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

Solving
2 + -1x = 10 + -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.
2 + -1x + 5x = 10 + -5x + 5x

Combine like terms: -1x + 5x = 4x
2 + 4x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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