.7(.2x-1)=.3(3-.2x)

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Solution for .7(.2x-1)=.3(3-.2x) equation: 


Simplifying
0.7(0.2x + -1) = 0.3(3 + -0.2x)

Reorder the terms:
0.7(-1 + 0.2x) = 0.3(3 + -0.2x)
(-1 * 0.7 + 0.2x * 0.7) = 0.3(3 + -0.2x)
(-0.7 + 0.14x) = 0.3(3 + -0.2x)
-0.7 + 0.14x = (3 * 0.3 + -0.2x * 0.3)
-0.7 + 0.14x = (0.9 + -0.06x)

Solving
-0.7 + 0.14x = 0.9 + -0.06x

Solving for variable 'x'.

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

Add '0.06x' to each side of the equation.
-0.7 + 0.14x + 0.06x = 0.9 + -0.06x + 0.06x

Combine like terms: 0.14x + 0.06x = 0.2x
-0.7 + 0.2x = 0.9 + -0.06x + 0.06x

Combine like terms: -0.06x + 0.06x = 0.00
-0.7 + 0.2x = 0.9 + 0.00
-0.7 + 0.2x = 0.9

Add '0.7' to each side of the equation.
-0.7 + 0.7 + 0.2x = 0.9 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + 0.2x = 0.9 + 0.7
0.2x = 0.9 + 0.7

Combine like terms: 0.9 + 0.7 = 1.6
0.2x = 1.6

Divide each side by '0.2'.
x = 8

Simplifying
x = 8

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