-0.8(2x-6)=1.7(3-x)

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Solution for -0.8(2x-6)=1.7(3-x) equation: 


Simplifying
-0.8(2x + -6) = 1.7(3 + -1x)

Reorder the terms:
-0.8(-6 + 2x) = 1.7(3 + -1x)
(-6 * -0.8 + 2x * -0.8) = 1.7(3 + -1x)
(4.8 + -1.6x) = 1.7(3 + -1x)
4.8 + -1.6x = (3 * 1.7 + -1x * 1.7)
4.8 + -1.6x = (5.1 + -1.7x)

Solving
4.8 + -1.6x = 5.1 + -1.7x

Solving for variable 'x'.

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

Add '1.7x' to each side of the equation.
4.8 + -1.6x + 1.7x = 5.1 + -1.7x + 1.7x

Combine like terms: -1.6x + 1.7x = 0.1x
4.8 + 0.1x = 5.1 + -1.7x + 1.7x

Combine like terms: -1.7x + 1.7x = 0.0
4.8 + 0.1x = 5.1 + 0.0
4.8 + 0.1x = 5.1

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.1x = 5.1 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.1x = 5.1 + -4.8
0.1x = 5.1 + -4.8

Combine like terms: 5.1 + -4.8 = 0.3
0.1x = 0.3

Divide each side by '0.1'.
x = 3

Simplifying
x = 3

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