6.7=10(x)+-8(1-x)

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Solution for 6.7=10(x)+-8(1-x) equation: 


Simplifying
6.7 = 10(x) + -8(1 + -1x)
6.7 = 10x + (1 * -8 + -1x * -8)
6.7 = 10x + (-8 + 8x)

Reorder the terms:
6.7 = -8 + 10x + 8x

Combine like terms: 10x + 8x = 18x
6.7 = -8 + 18x

Solving
6.7 = -8 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6.7 + -18x = -8 + 18x + -18x

Combine like terms: 18x + -18x = 0
6.7 + -18x = -8 + 0
6.7 + -18x = -8

Add '-6.7' to each side of the equation.
6.7 + -6.7 + -18x = -8 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + -18x = -8 + -6.7
-18x = -8 + -6.7

Combine like terms: -8 + -6.7 = -14.7
-18x = -14.7

Divide each side by '-18'.
x = 0.8166666667

Simplifying
x = 0.8166666667

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