6.8(x-1)=-0.2x+49.2

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Solution for 6.8(x-1)=-0.2x+49.2 equation: 


Simplifying
6.8(x + -1) = -0.2x + 49.2

Reorder the terms:
6.8(-1 + x) = -0.2x + 49.2
(-1 * 6.8 + x * 6.8) = -0.2x + 49.2
(-6.8 + 6.8x) = -0.2x + 49.2

Reorder the terms:
-6.8 + 6.8x = 49.2 + -0.2x

Solving
-6.8 + 6.8x = 49.2 + -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.
-6.8 + 6.8x + 0.2x = 49.2 + -0.2x + 0.2x

Combine like terms: 6.8x + 0.2x = 7x
-6.8 + 7x = 49.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-6.8 + 7x = 49.2 + 0.0
-6.8 + 7x = 49.2

Add '6.8' to each side of the equation.
-6.8 + 6.8 + 7x = 49.2 + 6.8

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + 7x = 49.2 + 6.8
7x = 49.2 + 6.8

Combine like terms: 49.2 + 6.8 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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