.2(34)+x=.17(34+x)

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Solution for .2(34)+x=.17(34+x) equation: 


Simplifying
0.2(34) + x = 0.17(34 + x)

Multiply 0.2 * 34
6.8 + x = 0.17(34 + x)
6.8 + x = (34 * 0.17 + x * 0.17)
6.8 + x = (5.78 + 0.17x)

Solving
6.8 + x = 5.78 + 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.
6.8 + x + -0.17x = 5.78 + 0.17x + -0.17x

Combine like terms: x + -0.17x = 0.83x
6.8 + 0.83x = 5.78 + 0.17x + -0.17x

Combine like terms: 0.17x + -0.17x = 0.00
6.8 + 0.83x = 5.78 + 0.00
6.8 + 0.83x = 5.78

Add '-6.8' to each side of the equation.
6.8 + -6.8 + 0.83x = 5.78 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 0.83x = 5.78 + -6.8
0.83x = 5.78 + -6.8

Combine like terms: 5.78 + -6.8 = -1.02
0.83x = -1.02

Divide each side by '0.83'.
x = -1.228915663

Simplifying
x = -1.228915663

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