-1.4(x-5)-1.6(x-4.4)=10.14

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Solution for -1.4(x-5)-1.6(x-4.4)=10.14 equation: 


Simplifying
-1.4(x + -5) + -1.6(x + -4.4) = 10.14

Reorder the terms:
-1.4(-5 + x) + -1.6(x + -4.4) = 10.14
(-5 * -1.4 + x * -1.4) + -1.6(x + -4.4) = 10.14
(7 + -1.4x) + -1.6(x + -4.4) = 10.14

Reorder the terms:
7 + -1.4x + -1.6(-4.4 + x) = 10.14
7 + -1.4x + (-4.4 * -1.6 + x * -1.6) = 10.14
7 + -1.4x + (7.04 + -1.6x) = 10.14

Reorder the terms:
7 + 7.04 + -1.4x + -1.6x = 10.14

Combine like terms: 7 + 7.04 = 14.04
14.04 + -1.4x + -1.6x = 10.14

Combine like terms: -1.4x + -1.6x = -3x
14.04 + -3x = 10.14

Solving
14.04 + -3x = 10.14

Solving for variable 'x'.

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

Add '-14.04' to each side of the equation.
14.04 + -14.04 + -3x = 10.14 + -14.04

Combine like terms: 14.04 + -14.04 = 0.00
0.00 + -3x = 10.14 + -14.04
-3x = 10.14 + -14.04

Combine like terms: 10.14 + -14.04 = -3.9
-3x = -3.9

Divide each side by '-3'.
x = 1.3

Simplifying
x = 1.3

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