6.8(x-3)=-0.2x+14.6

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Solution for 6.8(x-3)=-0.2x+14.6 equation: 


Simplifying
6.8(x + -3) = -0.2x + 14.6

Reorder the terms:
6.8(-3 + x) = -0.2x + 14.6
(-3 * 6.8 + x * 6.8) = -0.2x + 14.6
(-20.4 + 6.8x) = -0.2x + 14.6

Reorder the terms:
-20.4 + 6.8x = 14.6 + -0.2x

Solving
-20.4 + 6.8x = 14.6 + -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.
-20.4 + 6.8x + 0.2x = 14.6 + -0.2x + 0.2x

Combine like terms: 6.8x + 0.2x = 7x
-20.4 + 7x = 14.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-20.4 + 7x = 14.6 + 0.0
-20.4 + 7x = 14.6

Add '20.4' to each side of the equation.
-20.4 + 20.4 + 7x = 14.6 + 20.4

Combine like terms: -20.4 + 20.4 = 0.0
0.0 + 7x = 14.6 + 20.4
7x = 14.6 + 20.4

Combine like terms: 14.6 + 20.4 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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