6.7(x-4)=-0.3x+8.2

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Solution for 6.7(x-4)=-0.3x+8.2 equation: 


Simplifying
6.7(x + -4) = -0.3x + 8.2

Reorder the terms:
6.7(-4 + x) = -0.3x + 8.2
(-4 * 6.7 + x * 6.7) = -0.3x + 8.2
(-26.8 + 6.7x) = -0.3x + 8.2

Reorder the terms:
-26.8 + 6.7x = 8.2 + -0.3x

Solving
-26.8 + 6.7x = 8.2 + -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.
-26.8 + 6.7x + 0.3x = 8.2 + -0.3x + 0.3x

Combine like terms: 6.7x + 0.3x = 7x
-26.8 + 7x = 8.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-26.8 + 7x = 8.2 + 0.0
-26.8 + 7x = 8.2

Add '26.8' to each side of the equation.
-26.8 + 26.8 + 7x = 8.2 + 26.8

Combine like terms: -26.8 + 26.8 = 0.0
0.0 + 7x = 8.2 + 26.8
7x = 8.2 + 26.8

Combine like terms: 8.2 + 26.8 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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