0.6x+0.4(30)=0.5(x+40)

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Solution for 0.6x+0.4(30)=0.5(x+40) equation: 


Simplifying
0.6x + 0.4(30) = 0.5(x + 40)

Multiply 0.4 * 30
0.6x + 12 = 0.5(x + 40)

Reorder the terms:
12 + 0.6x = 0.5(x + 40)

Reorder the terms:
12 + 0.6x = 0.5(40 + x)
12 + 0.6x = (40 * 0.5 + x * 0.5)
12 + 0.6x = (20 + 0.5x)

Solving
12 + 0.6x = 20 + 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.
12 + 0.6x + -0.5x = 20 + 0.5x + -0.5x

Combine like terms: 0.6x + -0.5x = 0.1x
12 + 0.1x = 20 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
12 + 0.1x = 20 + 0.0
12 + 0.1x = 20

Add '-12' to each side of the equation.
12 + -12 + 0.1x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 0.1x = 20 + -12
0.1x = 20 + -12

Combine like terms: 20 + -12 = 8
0.1x = 8

Divide each side by '0.1'.
x = 80

Simplifying
x = 80

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