.6(x-3)+0.83=0.17(x+2)

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Solution for .6(x-3)+0.83=0.17(x+2) equation: 


Simplifying
0.6(x + -3) + 0.83 = 0.17(x + 2)

Reorder the terms:
0.6(-3 + x) + 0.83 = 0.17(x + 2)
(-3 * 0.6 + x * 0.6) + 0.83 = 0.17(x + 2)
(-1.8 + 0.6x) + 0.83 = 0.17(x + 2)

Reorder the terms:
-1.8 + 0.83 + 0.6x = 0.17(x + 2)

Combine like terms: -1.8 + 0.83 = -0.97
-0.97 + 0.6x = 0.17(x + 2)

Reorder the terms:
-0.97 + 0.6x = 0.17(2 + x)
-0.97 + 0.6x = (2 * 0.17 + x * 0.17)
-0.97 + 0.6x = (0.34 + 0.17x)

Solving
-0.97 + 0.6x = 0.34 + 0.17x

Solving for variable 'x'.

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

Add '-0.17x' to each side of the equation.
-0.97 + 0.6x + -0.17x = 0.34 + 0.17x + -0.17x

Combine like terms: 0.6x + -0.17x = 0.43x
-0.97 + 0.43x = 0.34 + 0.17x + -0.17x

Combine like terms: 0.17x + -0.17x = 0.00
-0.97 + 0.43x = 0.34 + 0.00
-0.97 + 0.43x = 0.34

Add '0.97' to each side of the equation.
-0.97 + 0.97 + 0.43x = 0.34 + 0.97

Combine like terms: -0.97 + 0.97 = 0.00
0.00 + 0.43x = 0.34 + 0.97
0.43x = 0.34 + 0.97

Combine like terms: 0.34 + 0.97 = 1.31
0.43x = 1.31

Divide each side by '0.43'.
x = 3.046511628

Simplifying
x = 3.046511628

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