x+2=(x-5).2

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


Simplifying
x + 2 = (x + -5) * 0.2

Reorder the terms:
2 + x = (x + -5) * 0.2

Reorder the terms:
2 + x = (-5 + x) * 0.2

Reorder the terms for easier multiplication:
2 + x = 0.2(-5 + x)
2 + x = (-5 * 0.2 + x * 0.2)
2 + x = (-1 + 0.2x)

Solving
2 + x = -1 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
2 + x + -0.2x = -1 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
2 + 0.8x = -1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2 + 0.8x = -1 + 0.0
2 + 0.8x = -1

Add '-2' to each side of the equation.
2 + -2 + 0.8x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 0.8x = -1 + -2
0.8x = -1 + -2

Combine like terms: -1 + -2 = -3
0.8x = -3

Divide each side by '0.8'.
x = -3.75

Simplifying
x = -3.75

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