6.7(x-3)=-0.3x+21.9

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Solution for 6.7(x-3)=-0.3x+21.9 equation: 


Simplifying
6.7(x + -3) = -0.3x + 21.9

Reorder the terms:
6.7(-3 + x) = -0.3x + 21.9
(-3 * 6.7 + x * 6.7) = -0.3x + 21.9
(-20.1 + 6.7x) = -0.3x + 21.9

Reorder the terms:
-20.1 + 6.7x = 21.9 + -0.3x

Solving
-20.1 + 6.7x = 21.9 + -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.
-20.1 + 6.7x + 0.3x = 21.9 + -0.3x + 0.3x

Combine like terms: 6.7x + 0.3x = 7x
-20.1 + 7x = 21.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-20.1 + 7x = 21.9 + 0.0
-20.1 + 7x = 21.9

Add '20.1' to each side of the equation.
-20.1 + 20.1 + 7x = 21.9 + 20.1

Combine like terms: -20.1 + 20.1 = 0.0
0.0 + 7x = 21.9 + 20.1
7x = 21.9 + 20.1

Combine like terms: 21.9 + 20.1 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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