6.8(x-2)=-0.2x+42.4

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Solution for 6.8(x-2)=-0.2x+42.4 equation:


Simplifying
6.8(x + -2) = -0.2x + 42.4

Reorder the terms:
6.8(-2 + x) = -0.2x + 42.4
(-2 * 6.8 + x * 6.8) = -0.2x + 42.4
(-13.6 + 6.8x) = -0.2x + 42.4

Reorder the terms:
-13.6 + 6.8x = 42.4 + -0.2x

Solving
-13.6 + 6.8x = 42.4 + -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.
-13.6 + 6.8x + 0.2x = 42.4 + -0.2x + 0.2x

Combine like terms: 6.8x + 0.2x = 7x
-13.6 + 7x = 42.4 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-13.6 + 7x = 42.4 + 0.0
-13.6 + 7x = 42.4

Add '13.6' to each side of the equation.
-13.6 + 13.6 + 7x = 42.4 + 13.6

Combine like terms: -13.6 + 13.6 = 0.0
0.0 + 7x = 42.4 + 13.6
7x = 42.4 + 13.6

Combine like terms: 42.4 + 13.6 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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