0.5x+0.3(20)=0.4(x+20)

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Solution for 0.5x+0.3(20)=0.4(x+20) equation: 


Simplifying
0.5x + 0.3(20) = 0.4(x + 20)

Multiply 0.3 * 20
0.5x + 6 = 0.4(x + 20)

Reorder the terms:
6 + 0.5x = 0.4(x + 20)

Reorder the terms:
6 + 0.5x = 0.4(20 + x)
6 + 0.5x = (20 * 0.4 + x * 0.4)
6 + 0.5x = (8 + 0.4x)

Solving
6 + 0.5x = 8 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
6 + 0.5x + -0.4x = 8 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
6 + 0.1x = 8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
6 + 0.1x = 8 + 0.0
6 + 0.1x = 8

Add '-6' to each side of the equation.
6 + -6 + 0.1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 0.1x = 8 + -6
0.1x = 8 + -6

Combine like terms: 8 + -6 = 2
0.1x = 2

Divide each side by '0.1'.
x = 20

Simplifying
x = 20

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