-1.4(2.8x-6.3)+9.1(8-2.5x)=245.9

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Solution for -1.4(2.8x-6.3)+9.1(8-2.5x)=245.9 equation: 


Simplifying
-1.4(2.8x + -6.3) + 9.1(8 + -2.5x) = 245.9

Reorder the terms:
-1.4(-6.3 + 2.8x) + 9.1(8 + -2.5x) = 245.9
(-6.3 * -1.4 + 2.8x * -1.4) + 9.1(8 + -2.5x) = 245.9
(8.82 + -3.92x) + 9.1(8 + -2.5x) = 245.9
8.82 + -3.92x + (8 * 9.1 + -2.5x * 9.1) = 245.9
8.82 + -3.92x + (72.8 + -22.75x) = 245.9

Reorder the terms:
8.82 + 72.8 + -3.92x + -22.75x = 245.9

Combine like terms: 8.82 + 72.8 = 81.62
81.62 + -3.92x + -22.75x = 245.9

Combine like terms: -3.92x + -22.75x = -26.67x
81.62 + -26.67x = 245.9

Solving
81.62 + -26.67x = 245.9

Solving for variable 'x'.

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

Add '-81.62' to each side of the equation.
81.62 + -81.62 + -26.67x = 245.9 + -81.62

Combine like terms: 81.62 + -81.62 = 0.00
0.00 + -26.67x = 245.9 + -81.62
-26.67x = 245.9 + -81.62

Combine like terms: 245.9 + -81.62 = 164.28
-26.67x = 164.28

Divide each side by '-26.67'.
x = -6.159730034

Simplifying
x = -6.159730034

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