6.1(x-8)+2.3(8-x)=7.6

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Solution for 6.1(x-8)+2.3(8-x)=7.6 equation: 


Simplifying
6.1(x + -8) + 2.3(8 + -1x) = 7.6

Reorder the terms:
6.1(-8 + x) + 2.3(8 + -1x) = 7.6
(-8 * 6.1 + x * 6.1) + 2.3(8 + -1x) = 7.6
(-48.8 + 6.1x) + 2.3(8 + -1x) = 7.6
-48.8 + 6.1x + (8 * 2.3 + -1x * 2.3) = 7.6
-48.8 + 6.1x + (18.4 + -2.3x) = 7.6

Reorder the terms:
-48.8 + 18.4 + 6.1x + -2.3x = 7.6

Combine like terms: -48.8 + 18.4 = -30.4
-30.4 + 6.1x + -2.3x = 7.6

Combine like terms: 6.1x + -2.3x = 3.8x
-30.4 + 3.8x = 7.6

Solving
-30.4 + 3.8x = 7.6

Solving for variable 'x'.

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

Add '30.4' to each side of the equation.
-30.4 + 30.4 + 3.8x = 7.6 + 30.4

Combine like terms: -30.4 + 30.4 = 0.0
0.0 + 3.8x = 7.6 + 30.4
3.8x = 7.6 + 30.4

Combine like terms: 7.6 + 30.4 = 38
3.8x = 38

Divide each side by '3.8'.
x = 10

Simplifying
x = 10

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