1.3(x-2)-0.4=1.7-0.8

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Solution for 1.3(x-2)-0.4=1.7-0.8 equation: 


Simplifying
1.3(x + -2) + -0.4 = 1.7 + -0.8

Reorder the terms:
1.3(-2 + x) + -0.4 = 1.7 + -0.8
(-2 * 1.3 + x * 1.3) + -0.4 = 1.7 + -0.8
(-2.6 + 1.3x) + -0.4 = 1.7 + -0.8

Reorder the terms:
-2.6 + -0.4 + 1.3x = 1.7 + -0.8

Combine like terms: -2.6 + -0.4 = -3
-3 + 1.3x = 1.7 + -0.8

Combine like terms: 1.7 + -0.8 = 0.9
-3 + 1.3x = 0.9

Solving
-3 + 1.3x = 0.9

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1.3x = 0.9 + 3

Combine like terms: -3 + 3 = 0
0 + 1.3x = 0.9 + 3
1.3x = 0.9 + 3

Combine like terms: 0.9 + 3 = 3.9
1.3x = 3.9

Divide each side by '1.3'.
x = 3

Simplifying
x = 3

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