6.8=0.1*9+0.2*8+x*0.7

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Solution for 6.8=0.1*9+0.2*8+x*0.7 equation: 


Simplifying
6.8 = 0.1 * 9 + 0.2 * 8 + x * 0.7

Multiply 0.1 * 9
6.8 = 0.9 + 0.2 * 8 + x * 0.7

Multiply 0.2 * 8
6.8 = 0.9 + 1.6 + x * 0.7

Reorder the terms for easier multiplication:
6.8 = 0.9 + 1.6 + 0.7x

Combine like terms: 0.9 + 1.6 = 2.5
6.8 = 2.5 + 0.7x

Solving
6.8 = 2.5 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
6.8 + -0.7x = 2.5 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
6.8 + -0.7x = 2.5 + 0.0
6.8 + -0.7x = 2.5

Add '-6.8' to each side of the equation.
6.8 + -6.8 + -0.7x = 2.5 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -0.7x = 2.5 + -6.8
-0.7x = 2.5 + -6.8

Combine like terms: 2.5 + -6.8 = -4.3
-0.7x = -4.3

Divide each side by '-0.7'.
x = 6.142857143

Simplifying
x = 6.142857143

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