0.5=4.1-2(1.3x-4)

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Solution for 0.5=4.1-2(1.3x-4) equation: 


Simplifying
0.5 = 4.1 + -2(1.3x + -4)

Reorder the terms:
0.5 = 4.1 + -2(-4 + 1.3x)
0.5 = 4.1 + (-4 * -2 + 1.3x * -2)
0.5 = 4.1 + (8 + -2.6x)

Combine like terms: 4.1 + 8 = 12.1
0.5 = 12.1 + -2.6x

Solving
0.5 = 12.1 + -2.6x

Solving for variable 'x'.

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

Add '2.6x' to each side of the equation.
0.5 + 2.6x = 12.1 + -2.6x + 2.6x

Combine like terms: -2.6x + 2.6x = 0.0
0.5 + 2.6x = 12.1 + 0.0
0.5 + 2.6x = 12.1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 2.6x = 12.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 2.6x = 12.1 + -0.5
2.6x = 12.1 + -0.5

Combine like terms: 12.1 + -0.5 = 11.6
2.6x = 11.6

Divide each side by '2.6'.
x = 4.461538462

Simplifying
x = 4.461538462

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