-5.3(7.2x-2.3)+2.4x=1.1x-39.414

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Solution for -5.3(7.2x-2.3)+2.4x=1.1x-39.414 equation:


Simplifying
-5.3(7.2x + -2.3) + 2.4x = 1.1x + -39.414

Reorder the terms:
-5.3(-2.3 + 7.2x) + 2.4x = 1.1x + -39.414
(-2.3 * -5.3 + 7.2x * -5.3) + 2.4x = 1.1x + -39.414
(12.19 + -38.16x) + 2.4x = 1.1x + -39.414

Combine like terms: -38.16x + 2.4x = -35.76x
12.19 + -35.76x = 1.1x + -39.414

Reorder the terms:
12.19 + -35.76x = -39.414 + 1.1x

Solving
12.19 + -35.76x = -39.414 + 1.1x

Solving for variable 'x'.

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

Add '-1.1x' to each side of the equation.
12.19 + -35.76x + -1.1x = -39.414 + 1.1x + -1.1x

Combine like terms: -35.76x + -1.1x = -36.86x
12.19 + -36.86x = -39.414 + 1.1x + -1.1x

Combine like terms: 1.1x + -1.1x = 0.0
12.19 + -36.86x = -39.414 + 0.0
12.19 + -36.86x = -39.414

Add '-12.19' to each side of the equation.
12.19 + -12.19 + -36.86x = -39.414 + -12.19

Combine like terms: 12.19 + -12.19 = 0.00
0.00 + -36.86x = -39.414 + -12.19
-36.86x = -39.414 + -12.19

Combine like terms: -39.414 + -12.19 = -51.604
-36.86x = -51.604

Divide each side by '-36.86'.
x = 1.4

Simplifying
x = 1.4

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