0.3(0.2x+1)=0.4(0.3x-1)

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Solution for 0.3(0.2x+1)=0.4(0.3x-1) equation: 


Simplifying
0.3(0.2x + 1) = 0.4(0.3x + -1)

Reorder the terms:
0.3(1 + 0.2x) = 0.4(0.3x + -1)
(1 * 0.3 + 0.2x * 0.3) = 0.4(0.3x + -1)
(0.3 + 0.06x) = 0.4(0.3x + -1)

Reorder the terms:
0.3 + 0.06x = 0.4(-1 + 0.3x)
0.3 + 0.06x = (-1 * 0.4 + 0.3x * 0.4)
0.3 + 0.06x = (-0.4 + 0.12x)

Solving
0.3 + 0.06x = -0.4 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
0.3 + 0.06x + -0.12x = -0.4 + 0.12x + -0.12x

Combine like terms: 0.06x + -0.12x = -0.06x
0.3 + -0.06x = -0.4 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
0.3 + -0.06x = -0.4 + 0.00
0.3 + -0.06x = -0.4

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -0.06x = -0.4 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.06x = -0.4 + -0.3
-0.06x = -0.4 + -0.3

Combine like terms: -0.4 + -0.3 = -0.7
-0.06x = -0.7

Divide each side by '-0.06'.
x = 11.66666667

Simplifying
x = 11.66666667

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