-4.1(x-4)-1.9(x-1.5)=3.05

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Solution for -4.1(x-4)-1.9(x-1.5)=3.05 equation: 


Simplifying
-4.1(x + -4) + -1.9(x + -1.5) = 3.05

Reorder the terms:
-4.1(-4 + x) + -1.9(x + -1.5) = 3.05
(-4 * -4.1 + x * -4.1) + -1.9(x + -1.5) = 3.05
(16.4 + -4.1x) + -1.9(x + -1.5) = 3.05

Reorder the terms:
16.4 + -4.1x + -1.9(-1.5 + x) = 3.05
16.4 + -4.1x + (-1.5 * -1.9 + x * -1.9) = 3.05
16.4 + -4.1x + (2.85 + -1.9x) = 3.05

Reorder the terms:
16.4 + 2.85 + -4.1x + -1.9x = 3.05

Combine like terms: 16.4 + 2.85 = 19.25
19.25 + -4.1x + -1.9x = 3.05

Combine like terms: -4.1x + -1.9x = -6x
19.25 + -6x = 3.05

Solving
19.25 + -6x = 3.05

Solving for variable 'x'.

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

Add '-19.25' to each side of the equation.
19.25 + -19.25 + -6x = 3.05 + -19.25

Combine like terms: 19.25 + -19.25 = 0.00
0.00 + -6x = 3.05 + -19.25
-6x = 3.05 + -19.25

Combine like terms: 3.05 + -19.25 = -16.2
-6x = -16.2

Divide each side by '-6'.
x = 2.7

Simplifying
x = 2.7

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