0.5x+0.4(50)=0.3(x+40)

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Solution for 0.5x+0.4(50)=0.3(x+40) equation: 


Simplifying
0.5x + 0.4(50) = 0.3(x + 40)

Multiply 0.4 * 50
0.5x + 20 = 0.3(x + 40)

Reorder the terms:
20 + 0.5x = 0.3(x + 40)

Reorder the terms:
20 + 0.5x = 0.3(40 + x)
20 + 0.5x = (40 * 0.3 + x * 0.3)
20 + 0.5x = (12 + 0.3x)

Solving
20 + 0.5x = 12 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
20 + 0.5x + -0.3x = 12 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
20 + 0.2x = 12 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
20 + 0.2x = 12 + 0.0
20 + 0.2x = 12

Add '-20' to each side of the equation.
20 + -20 + 0.2x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 0.2x = 12 + -20
0.2x = 12 + -20

Combine like terms: 12 + -20 = -8
0.2x = -8

Divide each side by '0.2'.
x = -40

Simplifying
x = -40

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