5.4(x+5.3)=-5.5(x+5.8)+11.47

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Solution for 5.4(x+5.3)=-5.5(x+5.8)+11.47 equation:


Simplifying
5.4(x + 5.3) = -5.5(x + 5.8) + 11.47

Reorder the terms:
5.4(5.3 + x) = -5.5(x + 5.8) + 11.47
(5.3 * 5.4 + x * 5.4) = -5.5(x + 5.8) + 11.47
(28.62 + 5.4x) = -5.5(x + 5.8) + 11.47

Reorder the terms:
28.62 + 5.4x = -5.5(5.8 + x) + 11.47
28.62 + 5.4x = (5.8 * -5.5 + x * -5.5) + 11.47
28.62 + 5.4x = (-31.9 + -5.5x) + 11.47

Reorder the terms:
28.62 + 5.4x = -31.9 + 11.47 + -5.5x

Combine like terms: -31.9 + 11.47 = -20.43
28.62 + 5.4x = -20.43 + -5.5x

Solving
28.62 + 5.4x = -20.43 + -5.5x

Solving for variable 'x'.

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

Add '5.5x' to each side of the equation.
28.62 + 5.4x + 5.5x = -20.43 + -5.5x + 5.5x

Combine like terms: 5.4x + 5.5x = 10.9x
28.62 + 10.9x = -20.43 + -5.5x + 5.5x

Combine like terms: -5.5x + 5.5x = 0.0
28.62 + 10.9x = -20.43 + 0.0
28.62 + 10.9x = -20.43

Add '-28.62' to each side of the equation.
28.62 + -28.62 + 10.9x = -20.43 + -28.62

Combine like terms: 28.62 + -28.62 = 0.00
0.00 + 10.9x = -20.43 + -28.62
10.9x = -20.43 + -28.62

Combine like terms: -20.43 + -28.62 = -49.05
10.9x = -49.05

Divide each side by '10.9'.
x = -4.5

Simplifying
x = -4.5

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