-0.6(x-5)+0.8(x-6)=0.2-1.8

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Solution for -0.6(x-5)+0.8(x-6)=0.2-1.8 equation: 


Simplifying
-0.6(x + -5) + 0.8(x + -6) = 0.2 + -1.8

Reorder the terms:
-0.6(-5 + x) + 0.8(x + -6) = 0.2 + -1.8
(-5 * -0.6 + x * -0.6) + 0.8(x + -6) = 0.2 + -1.8
(3 + -0.6x) + 0.8(x + -6) = 0.2 + -1.8

Reorder the terms:
3 + -0.6x + 0.8(-6 + x) = 0.2 + -1.8
3 + -0.6x + (-6 * 0.8 + x * 0.8) = 0.2 + -1.8
3 + -0.6x + (-4.8 + 0.8x) = 0.2 + -1.8

Reorder the terms:
3 + -4.8 + -0.6x + 0.8x = 0.2 + -1.8

Combine like terms: 3 + -4.8 = -1.8
-1.8 + -0.6x + 0.8x = 0.2 + -1.8

Combine like terms: -0.6x + 0.8x = 0.2x
-1.8 + 0.2x = 0.2 + -1.8

Combine like terms: 0.2 + -1.8 = -1.6
-1.8 + 0.2x = -1.6

Solving
-1.8 + 0.2x = -1.6

Solving for variable 'x'.

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

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.2x = -1.6 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.2x = -1.6 + 1.8
0.2x = -1.6 + 1.8

Combine like terms: -1.6 + 1.8 = 0.2
0.2x = 0.2

Divide each side by '0.2'.
x = 1

Simplifying
x = 1

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