4.7(2x-0.5)=-6(1.6x-8.3x)

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Solution for 4.7(2x-0.5)=-6(1.6x-8.3x) equation: 


Simplifying
4.7(2x + -0.5) = -6(1.6x + -8.3x)

Reorder the terms:
4.7(-0.5 + 2x) = -6(1.6x + -8.3x)
(-0.5 * 4.7 + 2x * 4.7) = -6(1.6x + -8.3x)
(-2.35 + 9.4x) = -6(1.6x + -8.3x)

Combine like terms: 1.6x + -8.3x = -6.7x
-2.35 + 9.4x = -6(-6.7x)

Remove parenthesis around (-6.7x)
-2.35 + 9.4x = -6 * -6.7x

Multiply -6 * -6.7
-2.35 + 9.4x = 40.2x

Solving
-2.35 + 9.4x = 40.2x

Solving for variable 'x'.

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

Add '-40.2x' to each side of the equation.
-2.35 + 9.4x + -40.2x = 40.2x + -40.2x

Combine like terms: 9.4x + -40.2x = -30.8x
-2.35 + -30.8x = 40.2x + -40.2x

Combine like terms: 40.2x + -40.2x = 0.0
-2.35 + -30.8x = 0.0

Add '2.35' to each side of the equation.
-2.35 + 2.35 + -30.8x = 0.0 + 2.35

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + -30.8x = 0.0 + 2.35
-30.8x = 0.0 + 2.35

Combine like terms: 0.0 + 2.35 = 2.35
-30.8x = 2.35

Divide each side by '-30.8'.
x = -0.0762987013

Simplifying
x = -0.0762987013

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