6.7(x-2)=0.3x+28.6

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Solution for 6.7(x-2)=0.3x+28.6 equation: 


Simplifying
6.7(x + -2) = 0.3x + 28.6

Reorder the terms:
6.7(-2 + x) = 0.3x + 28.6
(-2 * 6.7 + x * 6.7) = 0.3x + 28.6
(-13.4 + 6.7x) = 0.3x + 28.6

Reorder the terms:
-13.4 + 6.7x = 28.6 + 0.3x

Solving
-13.4 + 6.7x = 28.6 + 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 = 28.6 + 0.3x + -0.3x

Combine like terms: 6.7x + -0.3x = 6.4x
-13.4 + 6.4x = 28.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-13.4 + 6.4x = 28.6 + 0.0
-13.4 + 6.4x = 28.6

Add '13.4' to each side of the equation.
-13.4 + 13.4 + 6.4x = 28.6 + 13.4

Combine like terms: -13.4 + 13.4 = 0.0
0.0 + 6.4x = 28.6 + 13.4
6.4x = 28.6 + 13.4

Combine like terms: 28.6 + 13.4 = 42
6.4x = 42

Divide each side by '6.4'.
x = 6.5625

Simplifying
x = 6.5625

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