0.5(5x+10)=1.7-(x-2)

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Solution for 0.5(5x+10)=1.7-(x-2) equation: 


Simplifying
0.5(5x + 10) = 1.7 + -1(x + -2)

Reorder the terms:
0.5(10 + 5x) = 1.7 + -1(x + -2)
(10 * 0.5 + 5x * 0.5) = 1.7 + -1(x + -2)
(5 + 2.5x) = 1.7 + -1(x + -2)

Reorder the terms:
5 + 2.5x = 1.7 + -1(-2 + x)
5 + 2.5x = 1.7 + (-2 * -1 + x * -1)
5 + 2.5x = 1.7 + (2 + -1x)

Combine like terms: 1.7 + 2 = 3.7
5 + 2.5x = 3.7 + -1x

Solving
5 + 2.5x = 3.7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + 2.5x + x = 3.7 + -1x + x

Combine like terms: 2.5x + x = 3.5x
5 + 3.5x = 3.7 + -1x + x

Combine like terms: -1x + x = 0
5 + 3.5x = 3.7 + 0
5 + 3.5x = 3.7

Add '-5' to each side of the equation.
5 + -5 + 3.5x = 3.7 + -5

Combine like terms: 5 + -5 = 0
0 + 3.5x = 3.7 + -5
3.5x = 3.7 + -5

Combine like terms: 3.7 + -5 = -1.3
3.5x = -1.3

Divide each side by '3.5'.
x = -0.3714285714

Simplifying
x = -0.3714285714

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