x+2.7x+2.4=-5.4(x-5.5)

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Solution for x+2.7x+2.4=-5.4(x-5.5) equation: 


Simplifying
x + 2.7x + 2.4 = -5.4(x + -5.5)

Reorder the terms:
2.4 + x + 2.7x = -5.4(x + -5.5)

Combine like terms: x + 2.7x = 3.7x
2.4 + 3.7x = -5.4(x + -5.5)

Reorder the terms:
2.4 + 3.7x = -5.4(-5.5 + x)
2.4 + 3.7x = (-5.5 * -5.4 + x * -5.4)
2.4 + 3.7x = (29.7 + -5.4x)

Solving
2.4 + 3.7x = 29.7 + -5.4x

Solving for variable 'x'.

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

Add '5.4x' to each side of the equation.
2.4 + 3.7x + 5.4x = 29.7 + -5.4x + 5.4x

Combine like terms: 3.7x + 5.4x = 9.1x
2.4 + 9.1x = 29.7 + -5.4x + 5.4x

Combine like terms: -5.4x + 5.4x = 0.0
2.4 + 9.1x = 29.7 + 0.0
2.4 + 9.1x = 29.7

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 9.1x = 29.7 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 9.1x = 29.7 + -2.4
9.1x = 29.7 + -2.4

Combine like terms: 29.7 + -2.4 = 27.3
9.1x = 27.3

Divide each side by '9.1'.
x = 3

Simplifying
x = 3

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