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

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


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

Combine like terms: 0.2 + 1 = 1.2
0.3(1.2) = 0.4(0.5x + -1)

Multiply 0.3 * 1.2
0.36 = 0.4(0.5x + -1)

Reorder the terms:
0.36 = 0.4(-1 + 0.5x)
0.36 = (-1 * 0.4 + 0.5x * 0.4)
0.36 = (-0.4 + 0.2x)

Solving
0.36 = -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.
0.36 + -0.2x = -0.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.36 + -0.2x = -0.4 + 0.0
0.36 + -0.2x = -0.4

Add '-0.36' to each side of the equation.
0.36 + -0.36 + -0.2x = -0.4 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -0.2x = -0.4 + -0.36
-0.2x = -0.4 + -0.36

Combine like terms: -0.4 + -0.36 = -0.76
-0.2x = -0.76

Divide each side by '-0.2'.
x = 3.8

Simplifying
x = 3.8

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