3(x+5.7)=6x-3.4

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Solution for 3(x+5.7)=6x-3.4 equation: 


Simplifying
3(x + 5.7) = 6x + -3.4

Reorder the terms:
3(5.7 + x) = 6x + -3.4
(5.7 * 3 + x * 3) = 6x + -3.4
(17.1 + 3x) = 6x + -3.4

Reorder the terms:
17.1 + 3x = -3.4 + 6x

Solving
17.1 + 3x = -3.4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
17.1 + 3x + -6x = -3.4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
17.1 + -3x = -3.4 + 6x + -6x

Combine like terms: 6x + -6x = 0
17.1 + -3x = -3.4 + 0
17.1 + -3x = -3.4

Add '-17.1' to each side of the equation.
17.1 + -17.1 + -3x = -3.4 + -17.1

Combine like terms: 17.1 + -17.1 = 0.0
0.0 + -3x = -3.4 + -17.1
-3x = -3.4 + -17.1

Combine like terms: -3.4 + -17.1 = -20.5
-3x = -20.5

Divide each side by '-3'.
x = 6.833333333

Simplifying
x = 6.833333333

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