3.2x-2(.5x-.6)=4.1x-5

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Solution for 3.2x-2(.5x-.6)=4.1x-5 equation: 


Simplifying
3.2x + -2(0.5x + -0.6) = 4.1x + -5

Reorder the terms:
3.2x + -2(-0.6 + 0.5x) = 4.1x + -5
3.2x + (-0.6 * -2 + 0.5x * -2) = 4.1x + -5
3.2x + (1.2 + -1x) = 4.1x + -5

Reorder the terms:
1.2 + 3.2x + -1x = 4.1x + -5

Combine like terms: 3.2x + -1x = 2.2x
1.2 + 2.2x = 4.1x + -5

Reorder the terms:
1.2 + 2.2x = -5 + 4.1x

Solving
1.2 + 2.2x = -5 + 4.1x

Solving for variable 'x'.

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

Add '-4.1x' to each side of the equation.
1.2 + 2.2x + -4.1x = -5 + 4.1x + -4.1x

Combine like terms: 2.2x + -4.1x = -1.9x
1.2 + -1.9x = -5 + 4.1x + -4.1x

Combine like terms: 4.1x + -4.1x = 0.0
1.2 + -1.9x = -5 + 0.0
1.2 + -1.9x = -5

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -1.9x = -5 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.9x = -5 + -1.2
-1.9x = -5 + -1.2

Combine like terms: -5 + -1.2 = -6.2
-1.9x = -6.2

Divide each side by '-1.9'.
x = 3.263157895

Simplifying
x = 3.263157895

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