3x+2-1.7x=0.6x+31.4

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Solution for 3x+2-1.7x=0.6x+31.4 equation: 


Simplifying
3x + 2 + -1.7x = 0.6x + 31.4

Reorder the terms:
2 + 3x + -1.7x = 0.6x + 31.4

Combine like terms: 3x + -1.7x = 1.3x
2 + 1.3x = 0.6x + 31.4

Reorder the terms:
2 + 1.3x = 31.4 + 0.6x

Solving
2 + 1.3x = 31.4 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
2 + 1.3x + -0.6x = 31.4 + 0.6x + -0.6x

Combine like terms: 1.3x + -0.6x = 0.7x
2 + 0.7x = 31.4 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
2 + 0.7x = 31.4 + 0.0
2 + 0.7x = 31.4

Add '-2' to each side of the equation.
2 + -2 + 0.7x = 31.4 + -2

Combine like terms: 2 + -2 = 0
0 + 0.7x = 31.4 + -2
0.7x = 31.4 + -2

Combine like terms: 31.4 + -2 = 29.4
0.7x = 29.4

Divide each side by '0.7'.
x = 42

Simplifying
x = 42

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