.2(3x-7)+.5=.9

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Solution for .2(3x-7)+.5=.9 equation: 


Simplifying
0.2(3x + -7) + 0.5 = 0.9

Reorder the terms:
0.2(-7 + 3x) + 0.5 = 0.9
(-7 * 0.2 + 3x * 0.2) + 0.5 = 0.9
(-1.4 + 0.6x) + 0.5 = 0.9

Reorder the terms:
-1.4 + 0.5 + 0.6x = 0.9

Combine like terms: -1.4 + 0.5 = -0.9
-0.9 + 0.6x = 0.9

Solving
-0.9 + 0.6x = 0.9

Solving for variable 'x'.

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

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.6x = 0.9 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.6x = 0.9 + 0.9
0.6x = 0.9 + 0.9

Combine like terms: 0.9 + 0.9 = 1.8
0.6x = 1.8

Divide each side by '0.6'.
x = 3

Simplifying
x = 3

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