-6.8(x-6)-4.6(x-0.1)=-2.06

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Solution for -6.8(x-6)-4.6(x-0.1)=-2.06 equation: 


Simplifying
-6.8(x + -6) + -4.6(x + -0.1) = -2.06

Reorder the terms:
-6.8(-6 + x) + -4.6(x + -0.1) = -2.06
(-6 * -6.8 + x * -6.8) + -4.6(x + -0.1) = -2.06
(40.8 + -6.8x) + -4.6(x + -0.1) = -2.06

Reorder the terms:
40.8 + -6.8x + -4.6(-0.1 + x) = -2.06
40.8 + -6.8x + (-0.1 * -4.6 + x * -4.6) = -2.06
40.8 + -6.8x + (0.46 + -4.6x) = -2.06

Reorder the terms:
40.8 + 0.46 + -6.8x + -4.6x = -2.06

Combine like terms: 40.8 + 0.46 = 41.26
41.26 + -6.8x + -4.6x = -2.06

Combine like terms: -6.8x + -4.6x = -11.4x
41.26 + -11.4x = -2.06

Solving
41.26 + -11.4x = -2.06

Solving for variable 'x'.

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

Add '-41.26' to each side of the equation.
41.26 + -41.26 + -11.4x = -2.06 + -41.26

Combine like terms: 41.26 + -41.26 = 0.00
0.00 + -11.4x = -2.06 + -41.26
-11.4x = -2.06 + -41.26

Combine like terms: -2.06 + -41.26 = -43.32
-11.4x = -43.32

Divide each side by '-11.4'.
x = 3.8

Simplifying
x = 3.8

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