.5=4.1x-2(1.3x-4)

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Solution for .5=4.1x-2(1.3x-4) equation: 


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

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

Reorder the terms:
0.5 = 8 + 4.1x + -2.6x

Combine like terms: 4.1x + -2.6x = 1.5x
0.5 = 8 + 1.5x

Solving
0.5 = 8 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
0.5 + -1.5x = 8 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
0.5 + -1.5x = 8 + 0.0
0.5 + -1.5x = 8

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1.5x = 8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.5x = 8 + -0.5
-1.5x = 8 + -0.5

Combine like terms: 8 + -0.5 = 7.5
-1.5x = 7.5

Divide each side by '-1.5'.
x = -5

Simplifying
x = -5

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