0.3(0.2x-1)=0.4(0.5x+1)

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Solution for 0.3(0.2x-1)=0.4(0.5x+1) equation: 


Simplifying
0.3(0.2x + -1) = 0.4(0.5x + 1)

Reorder the terms:
0.3(-1 + 0.2x) = 0.4(0.5x + 1)
(-1 * 0.3 + 0.2x * 0.3) = 0.4(0.5x + 1)
(-0.3 + 0.06x) = 0.4(0.5x + 1)

Reorder the terms:
-0.3 + 0.06x = 0.4(1 + 0.5x)
-0.3 + 0.06x = (1 * 0.4 + 0.5x * 0.4)
-0.3 + 0.06x = (0.4 + 0.2x)

Solving
-0.3 + 0.06x = 0.4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-0.3 + 0.06x + -0.2x = 0.4 + 0.2x + -0.2x

Combine like terms: 0.06x + -0.2x = -0.14x
-0.3 + -0.14x = 0.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.3 + -0.14x = 0.4 + 0.0
-0.3 + -0.14x = 0.4

Add '0.3' to each side of the equation.
-0.3 + 0.3 + -0.14x = 0.4 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + -0.14x = 0.4 + 0.3
-0.14x = 0.4 + 0.3

Combine like terms: 0.4 + 0.3 = 0.7
-0.14x = 0.7

Divide each side by '-0.14'.
x = -5

Simplifying
x = -5

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