1.7(6-x)=-0.5(3-x)

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Solution for 1.7(6-x)=-0.5(3-x) equation: 


Simplifying
1.7(6 + -1x) = -0.5(3 + -1x)
(6 * 1.7 + -1x * 1.7) = -0.5(3 + -1x)
(10.2 + -1.7x) = -0.5(3 + -1x)
10.2 + -1.7x = (3 * -0.5 + -1x * -0.5)
10.2 + -1.7x = (-1.5 + 0.5x)

Solving
10.2 + -1.7x = -1.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
10.2 + -1.7x + -0.5x = -1.5 + 0.5x + -0.5x

Combine like terms: -1.7x + -0.5x = -2.2x
10.2 + -2.2x = -1.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
10.2 + -2.2x = -1.5 + 0.0
10.2 + -2.2x = -1.5

Add '-10.2' to each side of the equation.
10.2 + -10.2 + -2.2x = -1.5 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + -2.2x = -1.5 + -10.2
-2.2x = -1.5 + -10.2

Combine like terms: -1.5 + -10.2 = -11.7
-2.2x = -11.7

Divide each side by '-2.2'.
x = 5.318181818

Simplifying
x = 5.318181818

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