-0.06(x-5)+0.8(x-6)=0.2x-1.8

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Solution for -0.06(x-5)+0.8(x-6)=0.2x-1.8 equation: 


Simplifying
-0.06(x + -5) + 0.8(x + -6) = 0.2x + -1.8

Reorder the terms:
-0.06(-5 + x) + 0.8(x + -6) = 0.2x + -1.8
(-5 * -0.06 + x * -0.06) + 0.8(x + -6) = 0.2x + -1.8
(0.3 + -0.06x) + 0.8(x + -6) = 0.2x + -1.8

Reorder the terms:
0.3 + -0.06x + 0.8(-6 + x) = 0.2x + -1.8
0.3 + -0.06x + (-6 * 0.8 + x * 0.8) = 0.2x + -1.8
0.3 + -0.06x + (-4.8 + 0.8x) = 0.2x + -1.8

Reorder the terms:
0.3 + -4.8 + -0.06x + 0.8x = 0.2x + -1.8

Combine like terms: 0.3 + -4.8 = -4.5
-4.5 + -0.06x + 0.8x = 0.2x + -1.8

Combine like terms: -0.06x + 0.8x = 0.74x
-4.5 + 0.74x = 0.2x + -1.8

Reorder the terms:
-4.5 + 0.74x = -1.8 + 0.2x

Solving
-4.5 + 0.74x = -1.8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-4.5 + 0.74x + -0.2x = -1.8 + 0.2x + -0.2x

Combine like terms: 0.74x + -0.2x = 0.54x
-4.5 + 0.54x = -1.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-4.5 + 0.54x = -1.8 + 0.0
-4.5 + 0.54x = -1.8

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.54x = -1.8 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.54x = -1.8 + 4.5
0.54x = -1.8 + 4.5

Combine like terms: -1.8 + 4.5 = 2.7
0.54x = 2.7

Divide each side by '0.54'.
x = 5

Simplifying
x = 5

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