0.8x+0.4(50)=0.5(x+10)

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Solution for 0.8x+0.4(50)=0.5(x+10) equation: 


Simplifying
0.8x + 0.4(50) = 0.5(x + 10)

Multiply 0.4 * 50
0.8x + 20 = 0.5(x + 10)

Reorder the terms:
20 + 0.8x = 0.5(x + 10)

Reorder the terms:
20 + 0.8x = 0.5(10 + x)
20 + 0.8x = (10 * 0.5 + x * 0.5)
20 + 0.8x = (5 + 0.5x)

Solving
20 + 0.8x = 5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
20 + 0.8x + -0.5x = 5 + 0.5x + -0.5x

Combine like terms: 0.8x + -0.5x = 0.3x
20 + 0.3x = 5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
20 + 0.3x = 5 + 0.0
20 + 0.3x = 5

Add '-20' to each side of the equation.
20 + -20 + 0.3x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + 0.3x = 5 + -20
0.3x = 5 + -20

Combine like terms: 5 + -20 = -15
0.3x = -15

Divide each side by '0.3'.
x = -50

Simplifying
x = -50

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