6.7(x-2)=-0.3x+35.6

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Solution for 6.7(x-2)=-0.3x+35.6 equation: 


Simplifying
6.7(x + -2) = -0.3x + 35.6

Reorder the terms:
6.7(-2 + x) = -0.3x + 35.6
(-2 * 6.7 + x * 6.7) = -0.3x + 35.6
(-13.4 + 6.7x) = -0.3x + 35.6

Reorder the terms:
-13.4 + 6.7x = 35.6 + -0.3x

Solving
-13.4 + 6.7x = 35.6 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-13.4 + 6.7x + 0.3x = 35.6 + -0.3x + 0.3x

Combine like terms: 6.7x + 0.3x = 7x
-13.4 + 7x = 35.6 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-13.4 + 7x = 35.6 + 0.0
-13.4 + 7x = 35.6

Add '13.4' to each side of the equation.
-13.4 + 13.4 + 7x = 35.6 + 13.4

Combine like terms: -13.4 + 13.4 = 0.0
0.0 + 7x = 35.6 + 13.4
7x = 35.6 + 13.4

Combine like terms: 35.6 + 13.4 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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