-2.8(x-2)-5.7(x-2.2)=-37.11

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Solution for -2.8(x-2)-5.7(x-2.2)=-37.11 equation: 


Simplifying
-2.8(x + -2) + -5.7(x + -2.2) = -37.11

Reorder the terms:
-2.8(-2 + x) + -5.7(x + -2.2) = -37.11
(-2 * -2.8 + x * -2.8) + -5.7(x + -2.2) = -37.11
(5.6 + -2.8x) + -5.7(x + -2.2) = -37.11

Reorder the terms:
5.6 + -2.8x + -5.7(-2.2 + x) = -37.11
5.6 + -2.8x + (-2.2 * -5.7 + x * -5.7) = -37.11
5.6 + -2.8x + (12.54 + -5.7x) = -37.11

Reorder the terms:
5.6 + 12.54 + -2.8x + -5.7x = -37.11

Combine like terms: 5.6 + 12.54 = 18.14
18.14 + -2.8x + -5.7x = -37.11

Combine like terms: -2.8x + -5.7x = -8.5x
18.14 + -8.5x = -37.11

Solving
18.14 + -8.5x = -37.11

Solving for variable 'x'.

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

Add '-18.14' to each side of the equation.
18.14 + -18.14 + -8.5x = -37.11 + -18.14

Combine like terms: 18.14 + -18.14 = 0.00
0.00 + -8.5x = -37.11 + -18.14
-8.5x = -37.11 + -18.14

Combine like terms: -37.11 + -18.14 = -55.25
-8.5x = -55.25

Divide each side by '-8.5'.
x = 6.5

Simplifying
x = 6.5

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