6.8(x-4)=-0.2x+7.8

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Solution for 6.8(x-4)=-0.2x+7.8 equation: 


Simplifying
6.8(x + -4) = -0.2x + 7.8

Reorder the terms:
6.8(-4 + x) = -0.2x + 7.8
(-4 * 6.8 + x * 6.8) = -0.2x + 7.8
(-27.2 + 6.8x) = -0.2x + 7.8

Reorder the terms:
-27.2 + 6.8x = 7.8 + -0.2x

Solving
-27.2 + 6.8x = 7.8 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-27.2 + 6.8x + 0.2x = 7.8 + -0.2x + 0.2x

Combine like terms: 6.8x + 0.2x = 7x
-27.2 + 7x = 7.8 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-27.2 + 7x = 7.8 + 0.0
-27.2 + 7x = 7.8

Add '27.2' to each side of the equation.
-27.2 + 27.2 + 7x = 7.8 + 27.2

Combine like terms: -27.2 + 27.2 = 0.0
0.0 + 7x = 7.8 + 27.2
7x = 7.8 + 27.2

Combine like terms: 7.8 + 27.2 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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