6(x+8.3)=4(3.1-x)

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Solution for 6(x+8.3)=4(3.1-x) equation: 


Simplifying
6(x + 8.3) = 4(3.1 + -1x)

Reorder the terms:
6(8.3 + x) = 4(3.1 + -1x)
(8.3 * 6 + x * 6) = 4(3.1 + -1x)
(49.8 + 6x) = 4(3.1 + -1x)
49.8 + 6x = (3.1 * 4 + -1x * 4)
49.8 + 6x = (12.4 + -4x)

Solving
49.8 + 6x = 12.4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
49.8 + 6x + 4x = 12.4 + -4x + 4x

Combine like terms: 6x + 4x = 10x
49.8 + 10x = 12.4 + -4x + 4x

Combine like terms: -4x + 4x = 0
49.8 + 10x = 12.4 + 0
49.8 + 10x = 12.4

Add '-49.8' to each side of the equation.
49.8 + -49.8 + 10x = 12.4 + -49.8

Combine like terms: 49.8 + -49.8 = 0.0
0.0 + 10x = 12.4 + -49.8
10x = 12.4 + -49.8

Combine like terms: 12.4 + -49.8 = -37.4
10x = -37.4

Divide each side by '10'.
x = -3.74

Simplifying
x = -3.74

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