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

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Solution for 6.3(x-3)=-0.2x+14.6 equation: 


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

Reorder the terms:
6.3(-3 + x) = -0.2x + 14.6
(-3 * 6.3 + x * 6.3) = -0.2x + 14.6
(-18.9 + 6.3x) = -0.2x + 14.6

Reorder the terms:
-18.9 + 6.3x = 14.6 + -0.2x

Solving
-18.9 + 6.3x = 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.
-18.9 + 6.3x + 0.2x = 14.6 + -0.2x + 0.2x

Combine like terms: 6.3x + 0.2x = 6.5x
-18.9 + 6.5x = 14.6 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-18.9 + 6.5x = 14.6 + 0.0
-18.9 + 6.5x = 14.6

Add '18.9' to each side of the equation.
-18.9 + 18.9 + 6.5x = 14.6 + 18.9

Combine like terms: -18.9 + 18.9 = 0.0
0.0 + 6.5x = 14.6 + 18.9
6.5x = 14.6 + 18.9

Combine like terms: 14.6 + 18.9 = 33.5
6.5x = 33.5

Divide each side by '6.5'.
x = 5.153846154

Simplifying
x = 5.153846154

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