6.8(x-3)=-2x+35.6

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Solution for 6.8(x-3)=-2x+35.6 equation: 


Simplifying
6.8(x + -3) = -2x + 35.6

Reorder the terms:
6.8(-3 + x) = -2x + 35.6
(-3 * 6.8 + x * 6.8) = -2x + 35.6
(-20.4 + 6.8x) = -2x + 35.6

Reorder the terms:
-20.4 + 6.8x = 35.6 + -2x

Solving
-20.4 + 6.8x = 35.6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20.4 + 6.8x + 2x = 35.6 + -2x + 2x

Combine like terms: 6.8x + 2x = 8.8x
-20.4 + 8.8x = 35.6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20.4 + 8.8x = 35.6 + 0
-20.4 + 8.8x = 35.6

Add '20.4' to each side of the equation.
-20.4 + 20.4 + 8.8x = 35.6 + 20.4

Combine like terms: -20.4 + 20.4 = 0.0
0.0 + 8.8x = 35.6 + 20.4
8.8x = 35.6 + 20.4

Combine like terms: 35.6 + 20.4 = 56
8.8x = 56

Divide each side by '8.8'.
x = 6.363636364

Simplifying
x = 6.363636364

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