11.5-4.1x=6+3.2(x-4)

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Solution for 11.5-4.1x=6+3.2(x-4) equation: 


Simplifying
11.5 + -4.1x = 6 + 3.2(x + -4)

Reorder the terms:
11.5 + -4.1x = 6 + 3.2(-4 + x)
11.5 + -4.1x = 6 + (-4 * 3.2 + x * 3.2)
11.5 + -4.1x = 6 + (-12.8 + 3.2x)

Combine like terms: 6 + -12.8 = -6.8
11.5 + -4.1x = -6.8 + 3.2x

Solving
11.5 + -4.1x = -6.8 + 3.2x

Solving for variable 'x'.

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

Add '-3.2x' to each side of the equation.
11.5 + -4.1x + -3.2x = -6.8 + 3.2x + -3.2x

Combine like terms: -4.1x + -3.2x = -7.3x
11.5 + -7.3x = -6.8 + 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
11.5 + -7.3x = -6.8 + 0.0
11.5 + -7.3x = -6.8

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -7.3x = -6.8 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -7.3x = -6.8 + -11.5
-7.3x = -6.8 + -11.5

Combine like terms: -6.8 + -11.5 = -18.3
-7.3x = -18.3

Divide each side by '-7.3'.
x = 2.506849315

Simplifying
x = 2.506849315

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