7.2(3x+1)+2.3(5-x)=-34.3

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Solution for 7.2(3x+1)+2.3(5-x)=-34.3 equation: 


Simplifying
7.2(3x + 1) + 2.3(5 + -1x) = -34.3

Reorder the terms:
7.2(1 + 3x) + 2.3(5 + -1x) = -34.3
(1 * 7.2 + 3x * 7.2) + 2.3(5 + -1x) = -34.3
(7.2 + 21.6x) + 2.3(5 + -1x) = -34.3
7.2 + 21.6x + (5 * 2.3 + -1x * 2.3) = -34.3
7.2 + 21.6x + (11.5 + -2.3x) = -34.3

Reorder the terms:
7.2 + 11.5 + 21.6x + -2.3x = -34.3

Combine like terms: 7.2 + 11.5 = 18.7
18.7 + 21.6x + -2.3x = -34.3

Combine like terms: 21.6x + -2.3x = 19.3x
18.7 + 19.3x = -34.3

Solving
18.7 + 19.3x = -34.3

Solving for variable 'x'.

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

Add '-18.7' to each side of the equation.
18.7 + -18.7 + 19.3x = -34.3 + -18.7

Combine like terms: 18.7 + -18.7 = 0.0
0.0 + 19.3x = -34.3 + -18.7
19.3x = -34.3 + -18.7

Combine like terms: -34.3 + -18.7 = -53
19.3x = -53

Divide each side by '19.3'.
x = -2.74611399

Simplifying
x = -2.74611399

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