-2.3(x-8)=3.7(x+4)

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Solution for -2.3(x-8)=3.7(x+4) equation: 


Simplifying
-2.3(x + -8) = 3.7(x + 4)

Reorder the terms:
-2.3(-8 + x) = 3.7(x + 4)
(-8 * -2.3 + x * -2.3) = 3.7(x + 4)
(18.4 + -2.3x) = 3.7(x + 4)

Reorder the terms:
18.4 + -2.3x = 3.7(4 + x)
18.4 + -2.3x = (4 * 3.7 + x * 3.7)
18.4 + -2.3x = (14.8 + 3.7x)

Solving
18.4 + -2.3x = 14.8 + 3.7x

Solving for variable 'x'.

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

Add '-3.7x' to each side of the equation.
18.4 + -2.3x + -3.7x = 14.8 + 3.7x + -3.7x

Combine like terms: -2.3x + -3.7x = -6x
18.4 + -6x = 14.8 + 3.7x + -3.7x

Combine like terms: 3.7x + -3.7x = 0.0
18.4 + -6x = 14.8 + 0.0
18.4 + -6x = 14.8

Add '-18.4' to each side of the equation.
18.4 + -18.4 + -6x = 14.8 + -18.4

Combine like terms: 18.4 + -18.4 = 0.0
0.0 + -6x = 14.8 + -18.4
-6x = 14.8 + -18.4

Combine like terms: 14.8 + -18.4 = -3.6
-6x = -3.6

Divide each side by '-6'.
x = 0.6

Simplifying
x = 0.6

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