3x-(-1.6-4.6x)=-1.4+11.6x

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Solution for 3x-(-1.6-4.6x)=-1.4+11.6x equation: 


Simplifying
3x + -1(-1.6 + -4.6x) = -1.4 + 11.6x
3x + (-1.6 * -1 + -4.6x * -1) = -1.4 + 11.6x
3x + (1.6 + 4.6x) = -1.4 + 11.6x

Reorder the terms:
1.6 + 3x + 4.6x = -1.4 + 11.6x

Combine like terms: 3x + 4.6x = 7.6x
1.6 + 7.6x = -1.4 + 11.6x

Solving
1.6 + 7.6x = -1.4 + 11.6x

Solving for variable 'x'.

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

Add '-11.6x' to each side of the equation.
1.6 + 7.6x + -11.6x = -1.4 + 11.6x + -11.6x

Combine like terms: 7.6x + -11.6x = -4x
1.6 + -4x = -1.4 + 11.6x + -11.6x

Combine like terms: 11.6x + -11.6x = 0.0
1.6 + -4x = -1.4 + 0.0
1.6 + -4x = -1.4

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -4x = -1.4 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -4x = -1.4 + -1.6
-4x = -1.4 + -1.6

Combine like terms: -1.4 + -1.6 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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